Question

Express the number pattern given below in an algebraic expression. 5,9,13,17

Answer 1

Answer:

The algebraic expression for the number is $T_{n}=5+(n-1)d$.

Step-by-step explanation:

The number series is, 5, 9, 13, 17

Each number differ from the next by 4.

The series follows an arithmetic expression with first term a = 5 and common difference d = 4.

the nth term of the series will be:

$T_{n}=a+(n-1)d\\T_{n}=5+(n-1)d$

Thus, the algebraic expression for the number is $T_{n}=5+(n-1)d$.