Question

Given the nth term of Tn in a sequence is Tn=4n-7,where n=1,2,3,4....find

(1)the 8th term
(2)the term equals to 53

Answer 1

SOLUTION

GIVEN

The nth term of Tn in a sequence is $\sf{T_n = 4n - 7}$,where n=1,2,3,4....

TO DETERMINE

(1) The 8th term

(2) The term equals to 53

EVALUATION

Here it is given that

$\sf{T_n = 4n - 7}$

(1) Hence the required 8 th term is obtained by putting n = 8

Hence the required 8th term

$\sf{ = T_8}$

= ( 4 × 8 ) - 7

= 32 - 7

= 25

Hence 8 th term = 25

(2) Let n th term = 53

So by the given condition

$\sf{T_n = 53}$

$\sf{ \implies \: 4n - 7 = 53}$

$\sf{ \implies \: 4n = 60}$

$\sf{ \implies \: n = 15}$

Hence 15 th term = 53

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