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- Question 1 Exercise 5.1
- Question 2 & 3 Exercise 5.1
- Question 4 & 5 Exercise 5.1
- Question 6 Exercise 5.1
- Question 7 & 8 Exercise 5.1
- Question 9 Exercise 5.1
- Question 1 Exercise 5.2
- Question 2 & 3 Exercise 5.2
- Question 4 & 5 Exercise 5.2
- Question 1 Exercise 5.3
- Question 2 Exercise 5.3
- Question 3 Exercise 5.3
- Question 4 Exercise 5.3
- Question 5 Exercise 5.3
- Question 6 Exercise 5.3
- Question 1 Exercise 5.3
- Question 2 & 3 Exercise 5.4
- Question 4 Exercise 5.4
- Question 1 Review Exercise 5
- Question 2 & 3 Review Exercise
- Question 4 Review Exercise
- Question 5 & 6 Review Exercise
- Question 7 Review Exercise
- Question 8 Review Exercise
- Question 9 Review Exercise
- Question 10 Review Exercise
Fulltext results:
- Question 10 Review Exercise
- ====== Question 10 Review Exercise ====== Solutions of Question 10 of Review Exercise of Unit 05: Miscullaneous Series. Thi... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 10===== Find the $n^{\text {th }}$ term and the s... <text align="left"><btn type="primary">[[math-11-kpk:sol:unit05:Re-ex5-p7 |< Question 9 ]]</btn></text>
- Question 9 Review Exercise
- ====== Question 9 Review Exercise ====== Solutions of Question 9 of Review Exercise of Unit 05: Miscullaneous Series. This ... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 9(i)===== Find the sum of the first $n$ terms of ... terms is: $$S_n=\dfrac{n(2 n^2+6 n+9)}{6}$$ =====Question 9(ii)===== Find the sum of the first $n$ terms of
- Question 8 Review Exercise
- ====== Question 8 Review Exercise ====== Solutions of Question 8 of Review Exercise of Unit 05: Miscullaneous Series. This ... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 8(i)===== Find the sum of $n$ terms of the series... \dfrac{n^2(n+1)^2}{4}+\dfrac{3}{2}(3^n-1)$$ =====Question 8(ii)===== Find the sum of $n$ terms of the serie
- Question 7 Review Exercise
- ====== Question 7 Review Exercise ====== Solutions of Question 7 of Review Exercise of Unit 05: Miscullaneous Series. This ... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 7(i)===== Find the sum of the series: $1.2^2+3.3^... =\dfrac{n(3 n^3+8 n^2+6 n-5)}{6}\end{align} =====Question 7(ii)===== Find the sum the series: $3.1^2+5.2^2+
- Question 4 Review Exercise
- ====== Question 4 Review Exercise ====== Solutions of Question 4 of Review Exercise of Unit 05: Miscullaneous Series. This ... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 4===== Sum the series: $\dfrac{1}{1.4 .7}+\dfrac{... e="primary">[[math-11-kpk:sol:unit05:Re-ex5-p2 |< Question 2 & 3 ]]</btn></text> <text align="right"><btn ty
- Question 5 & 6 Review Exercise
- ====== Question 5 & 6 Review Exercise ====== Solutions of Question 5 & 6 of Review Exercise of Unit 05: Miscullaneous Serie... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 5===== Sum the series: $5+12 x+19 x^2+26 x^3+\ldo... )^2}-\dfrac{(7 n-1) x^n}{1-x}\\ \end{align} =====Question 6===== Sum the series: $\dfrac{1}{1.2}+\dfrac{1}{
- Question 2 & 3 Review Exercise
- ====== Question 2 & 3 Review Exercise ====== Solutions of Question 2 & 3 of Review Exercise of Unit 05: Miscullaneous Serie... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 2===== Sum the series to $n$ terms $1.2+2.3+3.4+\... =1}^n a_r=\dfrac{n(n+1)(n+2)}{3}\end{align} =====Question 3===== Sum the series: $1.3 .5+2.4 .6+3.5 .7+\ldo
- Question 1 Review Exercise 5
- ====== Question 1 Review Exercise 5 ====== Solutions of Question 1 of Review Exercise 5 of Unit 05: Vectors. This is unit o... Board (KPTB or KPTBB) Peshawar, Pakistan. ===== Question 1 ===== Chose the correct option. <panel> i. If ... align="right"><btn type="success">[[math-11-kpk:sol:unit05:Re-ex5-p2|Question 2 & 3 >]]</btn></text>
- Question 4 Exercise 5.4
- ====== Question 4 Exercise 5.4 ====== Solutions of Question 4 of Exercise 5.4 of Unit 05: Miscullaneous Series. This is uni... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 4===== Find the sum of the series: $\sum_{k=1}^n ... xt align="left"><btn type="primary">[[math-11-kpk:sol:unit05:ex5-4-p2 |< Question 2 & 3 ]]</btn></text>
- Question 2 & 3 Exercise 5.4
- ====== Question 2 & 3 Exercise 5.4 ====== Solutions of Question 2 & 3 of Exercise 5.4 of Unit 05: Miscullaneous Series. Thi... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 2===== Find sum of the series: $\sum_{k=1}^n \dfr... n+2}]\\ S_n&=\dfrac{n}{2(3 n+2)}\end{align} =====Question 3===== Find the sum of the series: $\sum_{k=1}^n
- Question 6 Exercise 5.3
- ====== Question 6 Exercise 5.3 ====== Solutions of Question 6 of Exercise 5.3 of Unit 05: Miscullaneous Series. This is uni... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 6====== Find $n$ term and sum to $n$ terms each o... <text align="left"><btn type="primary">[[math-11-kpk:sol:unit05:ex5-3-p5 |< Question 5 ]]</btn></text>
- Question 1 Exercise 5.3
- ====== Question 1 Exercise 5.3 ====== Solutions of Question 1 of Exercise 5.4 of Unit 05: Mascellaneous series. This is uni... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 1(i)==== Find the sum of the series $\dfrac{1}{1.... um of the series is: $$S_n=\dfrac{n}{n+1}$$ =====Question 1(ii)==== Find the sum of the series $\dfrac{1}{1
- Question 5 Exercise 5.3
- ====== Question 5 Exercise 5.3 ====== Solutions of Question 5 of Exercise 5.3 of Unit 05: Miscullaneous Series. This is uni... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 5===== Find $n$ term and sum to $n$ terms each of... pe="primary">[[math-11-kpk:sol:unit05:ex5-3-p4 |< Question 4 ]]</btn></text> <text align="right"><btn type="
- Question 4 Exercise 5.3
- ====== Question 4 Exercise 5.3 ====== Solutions of Question 4 of Exercise 5.3 of Unit 05: Miscullaneous Series. This is uni... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 4===== Find $n$ term and sum to $n$ terms each of... pe="primary">[[math-11-kpk:sol:unit05:ex5-3-p3 |< Question 3 ]]</btn></text> <text align="right"><btn type="
- Question 2 Exercise 5.3
- ====== Question 2 Exercise 5.3 ====== Solutions of Question 2 of Exercise 5.3 of Unit 05: Miscullaneous Series. This is uni... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 2===== Find $n$ term and sum to $n$ terms each o... pe="primary">[[math-11-kpk:sol:unit05:ex5-3-p1 |< Question 1 ]]</btn></text> <text align="right"><btn type="