The terms

The terms 1/64, 1/32, and 1/16 form a geometric progression (GP). If the sum of the GP is (236 – 2-6), find the number of terms.

Correct answer:

n =  42

Step-by-step explanation:

a1=1/64=6410.0156 a2=1/32=3210.0313  q=a2/a1=321/641=321:641=321 164=32 11 64=3264=2 a3=q a2=2 321=322 1=322=161=0.0625  s=2362668719476735.984  s = a1  1q1  qn   1a1s (1q) = qn  k=1a1s (1q)=10.015668719476735.984 (12)=4398046511104  k = 163842 = 242  k = qn ln k = n   ln q n=lnk/lnq=ln4398046511104/ln2=42

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