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1 vote
Find the nth term for 3,8,13,18

2 Answers

3 votes

Answer:

nth term = 5n - 2

Explanation:

The given sequence is 3, 8, 13, 18.

To find the nth term, we have to find the algebraic expression.

  • Algebraic expression = dn + b
  • 'd' means the common difference which can be found by subtracting one term with its previous term. 'b' is the difference between the first term and the com - mon difference.

So, d = 8 - 3

d = 5

b = first term - common difference

b = 3 - 5

b = (-2)

Algebraic expression or the nth term =

5n + (-2)

5n - 2.

Thus, the nth term equals to 5n-2!

User Aldekein
by
8.4k points
7 votes

Answer:

5n - 2

Explanation:

3 + x = 8

8 - 3 = 5

5 = x

3 (first term) - 5 = -2

5n - 2

User Chenyang
by
8.3k points

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