Question

the Geometric progression 384, 192, 96.... and 128
2. ... have their n term equal. Find the value
of 'n'.

Answer 1

Answer:

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Answer 2

The no. of terms for first geometric progression is 9. And the no. of terms in the second series is 8.

Step-by-step explanation:

First we need to find the r which is common ratio.

                    r = $\frac{\text{second term}}{\text{first term}}$

                     = $\frac{192}{384}$

                    = $\frac{1}{2}$

So, the total no. of terms are 9 in this GP.

  For second GP,

                     r = $\frac{\text{second term}}{\text{first term}}$

                       = $\frac{64}{128}$

                       = $\frac{1}{2}$

The total no. of terms are 8.

Basically, to find the no. of terms, write the whole series and just count it. Write it till the lowest common factor.