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Solve The first term of an A.P. is 1 and the sum of first 15 t

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Solve
The first term of an $A . P .$ is $1$ and the sum of first $15$ terms is $225$ , find the common difference.

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Solve
The first term of an

A . P .

1

and the sum of first

15

terms is

225

, find the common difference.

5 mins ago

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Text solutionVerified

Given

a = 1

S_{15} = 225 S_{15} = \frac{15}{2} [2 a + (15 - 1) d] \Rightarrow 225 = \frac{15}{2} [2 \times 1 + 14 d] \Rightarrow \frac{225 \times 2}{15} = 2 + 14 d \Rightarrow 30 = 2 + 14 d \Rightarrow 14 d = 28 \Rightarrow d = 2

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Question Text	Solve The first term of an $A . P .$ is $1$ and the sum of first $15$ terms is $225$ , find the common difference.
Answer Type	Text solution:1
Upvotes	150