Question

the first term of a geometric sequence is 400 and the common ratio is 0.5. what is the 5th term of the sequence.

Answer 1

Answer:

25

Step-by-step explanation:

Geometric sequence

General form of a geometric sequence:

$a_n=ar^{n-1}$

where:

• a = first term
• r = common ratio
• $a_n$ = nth term

Given values:

• a = 400
• r = 0.5
• n = 5

Substitute the given values into the formula and solve:

$\implies a_5=400(0.5)^{5-1}$

$\implies a_5=400(0.5)^{4}$

$\implies a_5=400(0.0625)$

$\implies a_5=25$

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