Question

The 12th term of a G.P. whose first term is 1/8 and second term is 1/2 is

Answer 1

Answer:

the first term divide by second term 1/2-1/8=4-1/8=3/8

Answer 2

SOLUTION

TO DETERMINE

The 12th term of a G.P. whose first term is 1/8 and second term is 1/2

EVALUATION

Here it is given that for the given GP

First term = a = 1/8

Second Term = 1/2

Common Ratio = r

= Second Term ÷ First term

= 4

So 12 th term of the GP

$\displaystyle \sf{ = a \times {r}^{n - 1} }$

$\displaystyle \sf{ = \frac{1}{8} \times {4}^{12 - 1} }$

$\displaystyle \sf{ = \frac{1}{8} \times {4}^{11} }$

$\displaystyle \sf{ = \frac{1}{8} \times {4}^{11} }$

$\sf{= 524288}$

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