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Which term of ap is 1 4 7 etc is 88

Posted by Sreerag R Nair 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

The given AP is:1, 4, 7, ,...................88

Here a=1 and d=4-1=3

Suppose there are n^th terms=88
{tex}\mathrm{We}\;\mathrm{know}\;\mathrm{that}\;{\mathrm a}_{\mathrm n}=\mathrm a+(\mathrm n-1)\mathrm d{/tex}
Now on substitution of value of a and d we get
88 =1+(n-1)(3)
88-1= 3n - 3
87 + 3 = 3n
90 = 3n
n = 30
Hence, the 30^th term of the given AP is 88.

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