Question

Find
the 27th term of the AP 9,4,-1,-6​

Answer 1

Answer:

121

Step-by-step explanation:

a=9 n= 27

d=4-9

= -5

Putting the values in below formula

a27 = a + (n-1)d

a27 = 9 +(27-1) ×-5

= 9 + (-130)

= 9 - 130

= - 121

Answer 2

${\underline{\underline{\bf Given}}}$

• $\sf a = 9$
• $\sf d = -5$
• $\sf n = 27$

${\underline{\underline{\bf To\:Find}}}$

• $\sf a_{27}$

${\underline{\underline{\bf Formula}}}$

${\underline\pink{\boxed{\bf a_{n} = a+(n-1)d}}}$

${\underline{\underline{\bf Solution}}}$

$\implies \sf a_{27} = 9 + 28 ( - 5) \\ \\ \implies\sf a_{27} = 9 - 140 \\ \\ \implies \sf a_{27} = - 131$

hence the required answer is $\sf -131$