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- Question 1 Exercise 4.5
- {align} ====Go To==== <text align="right"><btn type="success">[[fsc-part1-kpk:sol:unit04:ex4-5-p2|Question 2 >]]</btn></text>
- Question 5 & 6 Exercise 4.5
- =====Question 5===== Find $r$ such that $S_{10}=244 S_5$. ====Solution==== We know that $$S_n=\dfra... we get\\ \begin{align}\dfrac{a_1(r^{10}-1)}{r-1}&=244 \dfrac{a_1(r^5-1)}{r-1} \\ \Rightarrow r^{10}-1&=244(r^5-1) \\ \Rightarrow r^{10}-244 r^5 \cdots 1+244&=0 \\ \Rightarrow r^{10}-244 r^5+243&=0 \\ \Righ
- Question 7 & 8 Exercise 4.5
- the first $n$ terms of the sequence $\{(\dfrac{1}{2})^n\}$. ====Solution==== The sequence is:\\ $$\{(\dfrac{1}{2})^n\}=\dfrac{1}{2}, \dfrac{1}{2^2}, \dfrac{1}{2^3}, \ldots$$\\ where $$a_1=\dfrac{1}{2}$$\\ and $$r=\dfrac{\dfrac{1}{2
- 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... KPTB or KPTBB) Peshawar, Pakistan. =====Question 2(i)===== Some of the components $a_1, a_n, n_2 r$ and $S_n$ of a geometric sequence are given. Find t
- Question 3 Exercise 4.5
- ==== <text align="left"><btn type="primary">[[fsc-part1-kpk:sol:unit04:ex4-5-p2 |< Question 2 ]]</btn></text> <text align="right"><btn type="success">[[fsc-part1-kpk:sol:unit04:ex4-5-p4|Question 4 >]]</btn></te
- Question 4 Exercise 4.5
- xt { or } 0 . \overline{8}&=0.8+(0.1)(0.8) +(0.1)^2(0.8)+\ldots \ldots \ldots \ldots .(\mathrm{i})\en... } 1 . \overline{63}&=1+[0.63+ (0.01)(0.63)-(0.01)^2 0.63+\ldots \ldots \text { (i) }\end{align} The ... ii)===== Convert each decimal to common fraction $2 . \overline{15}$ ====Solution==== Since \begin{align}2 . \overline{15}&=2+0.15+0.0015+0.000015+\ldots\\
- Question 9 & 10 Exercise 4.5
- Question 7 & 8 ]]</btn></text> <text align="right"><btn type="success">[[fsc-part1-kpk:sol:unit04:ex4-5-p8|Question 11 & 12 >]]</btn></text>