Question

find the next term of the series root 2 root 8 root 18 root 32​

Answer 1

root 128 is the answer.

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Answer 2

Answer:

√2, √8, √18, √32,.......

√8 = 2√2

√18 = 3 √2

√32 = 4 √2

Hence,the sequence is √2, 2 √2,3 √2,4 √2

a = √2

D = 2 √2- √2

= √2

3 √2-2 √2

= √2

Since the common difference is same every time Hence given sequence is in AP

Next two terms are

4 √2+ √2 = 5 √2 = √50

5 √2 + √2 = 6 √2 = √72

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