How Many Terms Are In An Arithmetic Sequences Whose First Term Is -3 Common Difference Is 2and The Last Term Is 23

How many terms are in an arithmetic sequences whose first term is -3 common difference is 2and the last term is 23

 

Answer:

14 terms

Step-by-step explanation:

General rule:

an = a₁ + (n-1)(d)

Where:

Last term, an = 23

First term, a₁ = -3

Common difference, d= 3

Number of terms, n = unknown

Find n:

23 = -3 + (n-1)(2)

23 = -3 -2 + 2n

23 = -5 + 2n

2n = 23 + 5

2n/2 = 28/2

n = 14


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