Given the first three terms of an arithmetic progression as 2x, x + 4 and 2x - 6 respectively. Find the value of x and then give the first five terms of this arithmetic sequence.

Albarellak

Albarellak

Answered question

2020-12-24

Given the first three terms of an arithmetic progression as 2x, x + 4 and 2x  6 respectively. Find the value of x and then give the first five terms of this arithmetic sequence.

Answer & Explanation

Sadie Eaton

Sadie Eaton

Skilled2020-12-25Added 104 answers

Step 1 let a1, a2, a3, a4, a5 be the terms of A.P with common difference "d" according to question a1=2x
a2=x + 4
a3=2x  6
d=a2  a1
d=x + 4  2x
d=4  x also d=a3  a2
d=2x  6  x  4
d=x  10
as x  10=4  x
2x=14
x=7 Step 2 so as a1=2x
 a1=14
a2=a1 + d
a2=14  3
a2=11
a3=a2 + d
a3=11  3
a3=8
a4=a3 + d
a4=8  3
a4=5
a5=5  3
a5=2
so 14, 11, 8, 5, 2

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?