Question

what is the nth term of the sequence 6 , 11,16,21,26

Answer 1

Answer:

The next term will be 31.

Step-by-step explanation:

11-6 = 5

16-11 = 5

21-16 = 5

26-21 = 5

So next number will be 26+5 = 31.

Mark as brainliest to get more points.

Answer 2

The nth term of the sequence 6 , 11 , 16 , 21 , 26 is 5n + 1

Given :

The sequence 6 , 11 , 16 , 21 , 26

To find :

The nth term of the sequence

Solution :

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

6 , 11 , 16 , 21 , 26

This is an arithmetic sequence

Step 2 of 3 :

Write down first term and common difference

The arithmetic sequence is

6 , 11 , 16 , 21 , 26

First term = a = 6

Common Difference = d = 11 - 6 = 5

Step 3 of 3 :

Find the nth term of the sequence

Then nth term of the sequence

= a + ( n - 1 )d

= 6 + ( n - 1 ) × 5

= 6 + 5n - 5

= 5n + 1

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If for an A.P., S15= 147 and s14=123 find t 15

(A) 24 (B) 23 (C) 47 (D) 46

https://brainly.in/question/34324030

2. Insert there arithmetic means between -20 and 4

https://brainly.in/question/29887163

3. Consider the arithmetic sequence 100, 109, 118 · · ·

a) What is the common difference ?

b) What is the remainder on divi...

https://brainly.in/question/46321018