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In an AP, given a=7, a_{13}=35, find d and S_{13}.

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In an AP, given a $= 7$ , $a_{13} = 35$ , find d and $S_{13}$ .

273

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Alexander Discussed

In an AP, given a

= 7

a_{13} = 35

, find d and

S_{13}

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

a = 7, a_{13} = 35

a_{13} = a + (13 - 1) d

35 = 7 + 12 d

28 = 12 d

d = 28/12 = 7/3

s_{13} = \frac{13}{2} [2 a + (13 - 1) \frac{7}{3}]

s_{13} = \frac{13}{2} [14 + (12) \frac{7}{3}]

s_{13} = \frac{13}{2} [14 + 28]

s_{13} = 13 \times 21

s_{13} = 273

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