Question

5,11,17,23,.....................[find 9th term.]​

Answer 1

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Given that :-

→ First term a = 5

→ Common difference d = 11 - 5 = 6

→ nth term = 9

Then according to questions :-

using formula ,

$\huge\boxed{an = a+ (n - 1)d}$

a9 = 5 + ( 9 - 1) 6

a9 = 5 + 8 × 6

a9 = 5 + 48

a9 = 53

$\huge{\boxed{\boxed{\boxed{\red{a9 = 53}}}}}$

Answer 2

The 9th term will be "a₉=53". Further explanation is given below.

Step-by-step explanation:

The given series is:

5,11,17,23,...

The first term, a, a₁=5

The second term, a₂=11

The common difference, d=a₂-a₁

                                           d=11-5

                                           d=6

The nth term= 9

Now,

The sum of the nth term, an=a+(n-1)d

On putting the given values in the above formula, we get

⇒a₉=5+(9-1)6

⇒a₉=5+8×6

⇒a₉=5+48

⇒a₉=53

Learn more:

Find the nth term of the AP 5,11,17,23,...

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