Question

Write the first five terms of the geometric sequence with the given 1st term and the common ratio.

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Answer 1

• 1/2, 1/4, 1/8, 1/16, 1/32

Explanation:

Given GP with:

• 
  `a_1= 1/2, r = 1/2`

The equation for nth term is:

• 
  `a_n=a_1*r^(n-1)`

Find the first 5 terms:

• 
  `a_1=1/2\\a_2=1/2*1/2=1/4\\a_3=1/2*(1/2)^2=1/8\\a_4=1/2*(1/2)^3=1/16\\a_5=1/2*(1/2)^4=1/32`