Question

the 9th term of am AP is 4,9,14
A. 17
B.44
C. 36
D.40​

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

Question :

• Find the 9th term of the A.P = 4,9,14. . . . .

Given :

• AP = 4,9,14 . . . . . . .

To Find :

• The 9th term of the AP

Required Solution :

• The 9th term of the AP is 44

Using formula :

$\star { \boxed{ \pmb{ \sf{ a_{n} = a + (n - 1)d }}}}$

Full Solution :

We know that ,

• $\sf \: a_{n} = a + (n - 1) = d$

Where,

• $\sf \: a_{n} = n ^ {th} \: term$
• $\sf \: a = {1}^{st} \: term$
• $\sf \: d= common \: difference$

Here,

• a = 4
• n = 9
• d = 9 - 4 = 5

~ Substituting the values we get ,

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

$\rightarrow \sf a_{9} = 4 + (9 - 1)5$

$\rightarrow \sf a_{9} = 4 + (8)5$

$\rightarrow \sf a_{9} = 4 + 40$

$\rightarrow { \boxed{ \frak{ \pmb{ a_{9} = 44}}}}$

Therefore :

• The 9th term of the AP is 44