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Find the value of N if 1+4+7+10+.......to n terms =590

Question

Find the value of N if
$1 + 4 + 7 + 10 + .......$ to n terms $= 590$

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Alexander Discussed

Find the value of N if

1 + 4 + 7 + 10 + .......

to n terms

= 590

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

we have

1 + 4 + 7 + 10 + .......

to n terms

= 590

so, here

a = 1

d = 3

s_{n} = 590

\Rightarrow [2 \times 1 + (n - 1) 3] = 590

\Rightarrow [2 + 3 n - 3] = 590

\Rightarrow n [3 n - 1] = 1180

\Rightarrow 3 n^{2} - n - 1180 - 0

\Rightarrow 3 n (n - 20) + 59 (n - 20) = 0

\Rightarrow (n - 20) (3 n + 59) = 0

\Rightarrow n - 20 = 0

\Rightarrow n = 20

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Question Text	Find the value of N if $1 + 4 + 7 + 10 + .......$ to n terms $= 590$
Answer Type	Text solution:1
Upvotes	151