Estimate the cube roots of the followings
numbers, Correct up to two decimal places
1.57
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The given AP is 5, 15, 25….
a = 5, d = 15 – 5 = 10
We have, Tn = 130+T31
⇒ a + (n-1) d = 130 + 5 + (31 – 1) x 10
⇒ 5 + (n-1) 10 = 130 + 5 + (31 – 1) x 10
⇒ 5 + 10n – 10 = 135 + 300
⇒ 10n – 5 = 435 or 10n = 453 + 5
∴ n = 440/10 = 44
Thus, the required term is 44th
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