Question

what is the nth term of the sequence 1 6 11 16

Answer 1

it's 5n-4.. it is the rule that is taking place in the given sequence.. so nth term of the sequence will be 5n-4...

Answer 2

The nth term of the 1 , 6 , 11 , 16 is 5n - 4

Given :

The sequence 1 , 6 , 11 , 16

To find :

The 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

The given sequence is

1 , 6 , 11 , 16

This is an arithmetic sequence

Step 2 of 3 :

Write down first term and common difference

The arithmetic sequence is

1 , 6 , 11 , 16

First term = a = 1

Common Difference = d = 6 - 1 = 5

Step 3 of 3 :

Find the nth term

Then nth term

= a + ( n - 1 )d

= 1 + ( n - 1 ) × 5

= 1 + 5n - 5

= 5n - 4

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