Question

Find the decimal form of the sum 1/5+1/52+1/53+1/54​

Answer 1

Given :- Find the decimal form of the sum 1/5+1/5²+1/5³+1/5⁴ ?

Solution :-

→ 1/5 + 1/5² + 1/5³ + 1/5⁴

→ 1/5 + 1/25 + 1/125 + 1/625

→ (125 + 25 + 5 + 1)/625

→ (156/625)

now, checking prime factors of denominator,

→ 625 = 5 * 5 * 5 * 5 .

since prime factors of denominator is 5 only, therefore, we can conclude that, the decimal form of the sum (156/625) is terminating decimal .

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Answer 2

Answer:

1/5+1/52+1/53+1/54

Step-by-step explanation:

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