Question

(1) Find the 15th term of the A.P. 3, 8, 13, 18, ....​

Answer 1

Answer:

hey mate here is your answer:

Step-by-step explanation:

Given values:

⇒ a=3

⇒ d=8-3=5

⇒ n=15

⇒ an=?

so let's get started by applying formula ↓

⇒ an=a+(n-1)d

⇒ an=3+(15-1)×5

⇒ an=3+14×5

⇒ an=3+70

⇒ an=73

⇒Hence,we got the answer 15th term is 73.

hope it will help you...

Answer 2

The 15th term of the A.P. 3, 8, 13, 18, .... is 73

Given :

The arithmetic progression 3, 8, 13, 18, ....

To find :

The 15th term of the A.P.

Concept :

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + ( n - 1 )d

Solution :

Step 1 of 3 :

Write down the given progression

Here the given arithmetic progression is

3, 8, 13, 18, ....

Step 2 of 3 :

Write down first term and common difference

The arithmetic progression is

3, 8, 13, 18, ....

First term = a = 3

Common Difference = d = 8 - 3 = 5

Step 3 of 3 :

Find 15th term of the A.P

15 th term of the AP

= a + ( n - 1 )d

= a + ( 15 - 1 )d

= a + 14d

= 3 + ( 14 × 5 )

= 3 + 70

= 73

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