Question

Find the 27

th term of the A.P 9, 4, -1, -6, -11,….​

Answer 1

ANSWER

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GIVEN THAT

• AP :- 9,4,-1,-6,-11,...

FORMULA

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

where,

a = first term of Ap

n = total term of an Ap

d = difference

SOLUTION

d = 4-9 = -5

a = 9

$a_{27} = 9 + (27 - 1) - 5 \\ \implies \: a_{27} = 9 + 26 \times ( - 5) \\ \implies \: a_{27} \: = 9 - 130 \\ \implies \: \: a_{27} \: = - 121$

So 27th term of this Ap = -121