Question

find the 27th term of the ap 9 4 - 1 - 6​

Answer 1

Provided Information :-

An A.P. :-

• 9, 4, - 1, - 6

To Evaluate :-

• 27th term of the A.P.

Formula Used :-

$\star \: \purple{ \underline{ \boxed{ \mathbf{A_{(nth)} = a + n - 1 \times d }}}} \: \star$

Where,

• n = position of the term
• d = common difference
• A = term at nth position

Calculations :-

$\sf : \longrightarrow 9 + (27 - 1) \times - 5 \\ \\ \\ \sf : \longrightarrow 9 + 26 \times - 5 \\ \\ \\ \sf : \longrightarrow 9 + ( - 130) \\ \\ \\ \sf : \longrightarrow 9 - 130 \\ \\ \\ \sf : \longrightarrow - 121 \: \: \: \: \: \:$

Thus, the 27th term of this particular A.P. is - 121.

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