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The first term of an A.P of 20 terms is 2 and its last term is

Question

The first term of an A.P of $20$ terms is $2$ and its last term is $59$ . Find its $6 t h$ term from the end $4$

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Sebastian Discussed

The first term of an A.P of

20

terms is

2

and its last term is

59

. Find its

6 t h

term from the end

4

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

Given (a) first term of AP = 2

n total terms = 20

(a_{n})

least term = 59

We know

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

59 - 2 = 19 d

d = \frac{57}{19} = 3

∴

common difference of AP is .

For finding

6^{t h}

term from last.

out first term = 52 and last term = 2 & common difference = -3

now

a_{6} = a + 5 d = 59 + 5 (- 3)

a_{6} = 59 - 15

[a_{6} = 44]

∴ 6^{t h}

term from last is 44.

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Question Text	The first term of an A.P of $20$ terms is $2$ and its last term is $59$ . Find its $6 t h$ term from the end $4$
Answer Type	Text solution:1
Upvotes	151