Question

in an arithmetic sequence 11th term is 5 16th term is 25.write the sequence.what is the algebraic expression?​

Answer 1

Step-by-step explanation:

Given:

A11=5

a+10d=5---(1)

a16=25

a+15d=25---(2)

(2)-(1):

=> a+15d-(a+10d)=25-5

=> a+15d-a-10d=25-5

=> 5d=20

=> d=20/5=4.---(3)

(3) in (1)

=> a+10×4=5

=> a=5-40=-35.

The sequence is: -35,-30,-25,.........

An algebraic expression is an expression built up from integer constants, variables, and the algebraic operations.

For example, 3x² − 2xy + c.