In an AP
(i) given a=5,d=3, $a_{n}$ =50, find n and $S_{n}$ .
(ii) given $a_{12}$ =37,d=3, find a and $S_{12}$ .
(iii) given d=5, $S_{9}$ =75, find a and $a_{9}$ .
(iv) given a=8, $a_{n}$ =62, $S_{n}$ =210, find n and d.
(v) given l=28,S=144, and there are total of 9 terms. Find a.

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Find the value of t in the formula given below, if v = 4 , s = 5, n = 2 and r = 3 are given. v=2(t−s)9nr2

The correct option is D 9 v=2(t−s)9nr2 9nv=2(t−s)r2 9nv2r2=t−s t=s+9nv2r2 t=5+9×2×42×9 t = 5 + 4 t = 9

Find the value of t in the formula given below, if v = 4 , s = 5, n = 2 and r = 3 are given.

$v = \frac{2 (t - s)}{9 n} r^{2}$

The correct option is D
9

$v = \frac{2 (t - s)}{9 n} r^{2}$

$9 n v = 2 (t - s) r^{2}$

$\frac{9 n v}{2 r^{2}} = t - s$

$t = s + \frac{9 n v}{2 r^{2}}$

$t = 5 + \frac{9 \times 2 \times 4}{2 \times 9}$

t = 5 + 4

t = 9