Question

The next term of the sequence 3/2,5/4,9/8,17/16...is

Answer 1

The next term of the sequence = $\frac{31}{30}$

Given:

Given sequence 3/2,5/4,9/8,17/16...

To find:

The next term of the sequence

Explanation:

The next term will be following the same sequence that previously followed.

So the previous sequence is

$\frac{3}{2}$ , $\frac{3+2}{2\times 2}$ , $\frac{4+5}{4\times 2}$ like that

Which means we can add numerator and denominator and put into the numerator for next number and multiply denominator by 2 and put it in denominator.

So by following these sequence

next term will be,

$\frac{16+17}{16\times 2}$ = $\frac{31}{30}$

The next term of the sequence = $\frac{31}{30}$

To learn more...

1)For a sequence Sn = 4( 7n-1) verify that the

sequence is a G.P.​

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2)A, B, c forms an ap sequence therefore we can write B in terms of a and c i

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