Q. 24.5( 42 Votes )

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Answer :

First term from end a = 49

t_n = – 11

t_{n – 1} = – 8

Common difference d = t_n – t_{n – 1} = – 11 – ( – 8) = – 11 + 8 = – 3

Now, By using n^th term of an A.P. formula

t_n = a + (n – 1)d

where n = no. of terms

a = first term

d = common difference

t_n = n^th terms

no. of terms n = 4

⇒ t₄ = 49 + (4 – 1) × ( – 3)

⇒ t₄ = 49 + 3 × ( – 3)

⇒ t₄ = 49 – 9 = 40

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