Question

For an A.P , the first term is 14 and the last term is 212. If sum of these terms is 11300, find the number of terms and common difference and



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Answer 1

Step-by-step explanation:

n = 100

d = 2

Step-by-step explanation:

The sum of all term ( s_{n}) = 11300 .

s_{n} = n/2 ( first term + last term ) ( n = no of terms )

⇒ 11300 = n/2 ( 14 + 212 )

⇒ n = 100

a_{n} = a_{1} + (n - 1 )d

a_{n} = n^{th} term which is to be find.

a_{1 = first term.

d = common difference.

212 = 14 + ( 100 - 1 ) d.

d = \frac{198}{99} = 2

Answer 2

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