Question

Find the nth term of this sequence 7,10,13,16

Answer 1

Answer:

given a = 7 and d= 10-7 =3

An = a + (n-1) d

7 + (n-1)3

7 + 3n - 3

therefore nth term An = 4 + 3n

Answer 2

The nth term of the sequence 7 , 10 , 13 , 16 , . . . . is 3n + 4

Given :

The sequence 7 , 10 , 13 , 16 , . . . .

To find :

nth term of the sequence

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 sequence

Here the given sequence is

7 , 10 , 13 , 16 , . . . .

Step 2 of 3 :

Write down first term and common difference

The given sequence is an arithmetic sequence

First term = a = 7

Common Difference = d = 10 - 7 = 3

Step 3 of 3 :

Find nth term of the sequence

nth term of the sequence

$\sf = a_{n}$

= a + ( n - 1 )d

= 7 + (n - 1) × 3

= 7 + 3n - 3

= 3n + 4

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