Math, asked by pmgayathiri, 1 year ago

Find the number of terms in the following G.P.
4,8,16,…,8192

Answers

Answered by Anonymous
44

Answer:

Step-by-step explanation:

G.P : 4,8,16,...,8192

a = 4

r = 8/4 = 2

Tn = 8192

ar^(n-1) = 8192

4* 2^(n-1) = 8192

2^(n-1) = 8192/4

2^(n-1) = 2048

2^(n-1) = 2^11

If bases are equal powers are also equal.

n -1 = 11

n = 11+1

n = 12

Hope my answer helps you.... :)

Answered by Jeganbj6
10

Answer:

Step-by-step explanation:

G.P : 4,8,16,...,8192

a = 4

r = 8/4 = 2

Tn = 8192

ar^(n-1) = 8192

4* 2^(n-1) = 8192

2^(n-1) = 8192/4

2^(n-1) = 2048

2^(n-1) = 2^11

If bases are equal powers are also equal.

n -1 = 11

n = 11+1

n = 12

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