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



Did you find an error or inaccuracy? Feel free to write us. Thank you!










Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: