Question

The first term of an arithmetic sequence is equal to four and the common difference is three. find the formula for the value of the nth term

Answer 1

The formula for the value of nth term is $a_{n}$ = 3n + 1

Step-by-step explanation:

The formula of the nth term in the arithmetic sequence is

$a_{n}=a+(n-1)d$ , where

• a is the first term of the sequence
• d is the common difference between each two consecutive terms

∵ The first term of an arithmetic sequence is equal to four

∴ a = 4

∵ The common difference is equal to three

∴ d = 3

- Substitute these values in the rule of the nth term

∵ $a_{n}=a+(n-1)d$

∴ $a_{n}=4+(n-1)3$

- Simplify it

∴ $a_{n}=4+3n-3$

∴ $a_{n}=1+3n$

The formula for the value of nth term is $a_{n}$ = 3n + 1

Learn more:

You can learn more about the sequence in brainly.com/question/7221312

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