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Nth Term of GP

a1 = -2, r ...

Question

$a_{1} = - 2$ , $r = - 1$ . Find the $5^{t h}$ term in GP.

1

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Solution

The correct option is D $- 2$
Given, $a = - 2$ , common ratio $= - 1$
We know the formula for $n^{t h}$ term,
$t_{n} = a r^{n - 1}$
$t_{5} = - 2 \times - 1^{5 - 1}$
$= - 2 \times - 1^{4}$
$= - 2 \times 1$
$= - 2$

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a_{1} + a_{n} = a_{r} + a_{n - r}

1 \leq r \leq n

Write the first five terms in each of the following sequences :

(i) $a_{1} = 1, a_{n} = a_{n - 1} + 2, n > 1$

(ii) $a_{1} = 1 = a_{2}, a_{n} = a_{n - 1} + a_{n} - 2, n > 2$

(iii) $a_{1} = a_{2} = 2, a_{n} = a_{n - 1} - 1, n > 2$

a_{1}, a_{2}, a_{3} . . .

G P

log a_{n}, log a_{n + 1}, log a_{n + 2}

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