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us
Find a formula for the nth term in this
arithmetic sequence:
a₁ = 7, a2 = 4, a3 = 1, a4 = -2, ...
an = [? ]n +

Us Find A Formula For The Nth Term In This Arithmetic Sequence A 7 A2 4 A3 1 A4 2 An N class=

Sagot :

The formula for the nth term of the arithmetic sequence is [-3]n+10

What is the nth term of an arithmetic sequence?

⇒ The general form of the nth term of an arithmetic sequence is

an = a1 + (n - 1)d

Where,

a1 - first term

n - number of terms in the sequence

d - the common difference

Calculation:

It is given that the given sequence is an arithmetic sequence.

First term a1 = 7

Second term a2 = 4

Common difference d = 4-7

⇒ d=3

From the general formula,

an = a1 + (n - 1)d

On substituting,

an = 7+ (n-1)(-3)

an = 7-3n+3

an = -3n+10

⇒ Thus the general formula for the nth term of the arithmetic sequence  is -3n+10

an= [-3]n+10

learn more about the arithmetic sequence here:

brainly.com/question/503167

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