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- Question 1 and 2 Exercise 4.1
- Question 3 and 4 Exercise 4.1
- Question 5 Exercise 4.1
- Question 6 Exercise 4.1
- Question 1 and 2 Exercise 4.2
- Question 3 and 4 Exercise 4.2
- Question 5 and 6 Exercise 4.2
- Question 7 Exercise 4.2
- Question 8 Exercise 4.2
- Question 9 Exercise 4.2
- Question 10 Exercise 4.2
- Question 11 Exercise 4.2
- Question 12 & 13 Exercise 4.2
- Question 14 Exercise 4.2
- Question 15 Exercise 4.2
- Question 16 Exercise 4.2
- Question 17 Exercise 4.2
- Question 1 Exercise 4.3
- Question 2 Exercise 4.3
- Question 3 & 4 Exercise 4.3
- Question 5 & 6 Exercise 4.3
- Question 7 & 8 Exercise 4.3
- Question 9 & 10 Exercise 4.3
- Question 11 & 12 Exercise 4.3
- Question 13 & 14 Exercise 4.3
- Question 1 Exercise 4.4
- Question 2 & 3 Exercise 4.4
- Question 4 & 5 Exercise 4.4
- Question 6 & 7 Exercise 4.4
- Question 8 Exercise 4.4
- Question 9 Exercise 4.4
- Question 10 Exercise 4.4
- Question 11 Exercise 4.4
- Question 12 Exercise 4.4
- Question 1 Exercise 4.5
- Question 2 Exercise 4.5
- Question 3 Exercise 4.5
- Question 4 Exercise 4.5
- Question 5 & 6 Exercise 4.5
- Question 7 & 8 Exercise 4.5
- Question 9 & 10 Exercise 4.5
- Question 11 & 12 Exercise 4.5
- Question 13 & 14 Exercise 4.5
- Question 15 & 16 Exercise 4.5
Fulltext results:
- Question 1 and 2 Exercise 4.1
- ====== Question 1 and 2 Exercise 4.1 ====== Solutions of Question 1 and 2 of Exercise 4.1 of Unit 04: Sequence and Series. ... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 1(i)===== Classify into finite and infinite seque... s finite sequence whose last term is $50 $. =====Question 1(ii)===== Classify into finite and infinite sequ
- Question 3 and 4 Exercise 4.1
- ====== Question 3 and 4 Exercise 4.1 ====== Solutions of Question 3 and 4 of Exercise 4.1 of Unit 04: Sequence and Series. ... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 3(i)==== Write down the nth term of the sequence ... l term of the sequence is $\dfrac{n}{n+1}$. =====Question 3(ii)==== Write down the nth term of the sequence
- Question 12 & 13 Exercise 4.2
- ====== Question 12 & 13 Exercise 4.2 ====== Solutions of Question 12 & 13 of Exercise 4.2 of Unit 04: Sequence and Series. ... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 12===== A man earned dollars 3500 the first year ... s 21st year of work is dollars 18,500. GOOD =====Question 13(i)===== Find the arithmetic mean between $12$
- Question 1 Exercise 4.5
- ====== Question 1 Exercise 4.5 ====== Solutions of Question 1 of Exercise 4.5 of Unit 04: Sequence and Series. This is unit... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 1(i)===== Compute the sum $3+6+12+\ldots+3.2^9$ =... 2^{10}-1)\end{align}\\ is the required sum. =====Question 1(ii)===== Compute the sum $8+4+2+\ldots+\dfrac{1
- Question 5 Exercise 4.1
- ====== Question 5 Exercise 4.1 ====== Solutions of Question 5 of Exercise 4.1 of Unit 04: Sequence and Series. This is unit... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 5(i)===== Write each of the following series in e... m_{j=1}^6(2 j-3)&=-1+1+3+5+7+9 .\end{align} =====Question 5(ii)===== Write each of the following series in
- Question 2 Exercise 4.3
- ====== Question 2 Exercise 4.3 ====== Solutions of Question 2 of Exercise 4.3 of Unit 04: Sequence and Series. This is unit... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 2(i)===== Some of the components $a_1, a_n, n, d$... n} Hence $a_{17}=50$ and $S_{17}=442$. GOOD =====Question 2(ii)===== Some of the components $a_1, a_n, n, d
- Question 8 Exercise 4.4
- ====== Question 8 Exercise 4.4 ====== Solutions of Question 8 of Exercise 4.4 of Unit 04: Sequence and Series. This is unit... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 8(i)===== Find the geometric mean of $3.14$ and $... Thus $$G=2.94 \quad \text{or} \quad -2.94$$ =====Question 8(ii)===== Find the geometric mean of $-6$ and $-
- Question 4 Exercise 4.5
- ====== Question 4 Exercise 4.5 ====== Solutions of Question 4 of Exercise 4.5 of Unit 04: Sequence and Series. This is unit... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 4(i)===== Convert each decimal to common fraction... we get $$0 . \overline{8}=\dfrac{8}{9}$$.\\ =====Question 4(ii)===== Convert each decimal to common fractio
- Question 1 Exercise 4.4
- ====== Question 1 Exercise 4.4 ====== Solutions of Question 1 of Exercise 4.4 of Unit 04: Sequence and Series. This is unit... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question(i)===== Write the first five terms of geometric r... htarrow &5,15,45,135,405, \ldots\end{align} =====Question(ii)===== Write the first five terms of geometric
- Question 2 Exercise 4.5
- ====== Question 2 Exercise 4.5 ====== Solutions of Question 2 of Exercise 4.5 of Unit 04: Sequence and Series. This is unit... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 2(i)===== Some of the components $a_1, a_n, n_2 r... 128-1}{-3}\\ s_7&=\dfrac{129}{3}\end{align} =====Question 2(ii)===== Some of the components $a_1, a_n, n_2
- Question 6 Exercise 4.1
- ====== Question 6 Exercise 4.1 ====== Solutions of Question 6 of Exercise 4.1 of Unit 04: Sequence and Series. This is unit... +1} P_r, \text{ where } r=0,1,2,3,\ldots.$$ =====Question 6(i)===== Find the Pascal sequence for $n=5$ by u... for $n=5$ is $1,5,10,10,5,1,0,0,0, \ldots$. =====Question 6(ii)===== Find the Pascal sequence for $n=6$ by
- Question 3 and 4 Exercise 4.2
- ====== Question 3 and 4 Exercise 4.2 ====== Solutions of Question 3 and 4 of Exercise 4.2 of Unit 04: Sequence and Series. ... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 3===== Find the numbers of terms in arithmetic pr... f terms in given progression are $25$. GOOD =====Question 4===== The $n$th term of sequence is given by $a_
- Question 5 and 6 Exercise 4.2
- ====== Question 5 and 6 Exercise 4.2 ====== Solutions of Question 5 and 6 of Exercise 4.2 of Unit 04: Sequence and Series. ... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 5===== Show that the sequence $$\log a, \log (a b... . Thus, the given sequence is in A.P. GOOD =====Question 6===== Find the value of $k$, if $2 k+7,6 k-2$, $
- Question 14 Exercise 4.2
- ====== Question 14 Exercise 4.2 ====== Solutions of Question 14 of Exercise 4.2 of Unit 04: Sequence and Series. This is un... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 14(i)===== Insert three arithmetic means between ... 3}{4},23\dfrac{1}{2},32\dfrac{1}{4}.$$ GOOD =====Question 14(ii)===== Insert four arithmetic means between
- Question 3 & 4 Exercise 4.3
- ====== Question 3 & 4 Exercise 4.3 ====== Solutions of Question 3 & 4 of Exercise 4.3 of Unit 04: Sequence and Series. This... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 3===== Find sum of all the numbers divisible by $... ghtarrow S_{66}&=33(375)=12375 .\end{align} =====Question 4===== The sum of three numbers in an arithmetic