Math, asked by katrine4875, 1 year ago

5th term of an ap is 75 and 8th term is 525 then 6th term?

Answers

Answered by vivek1531
9
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Answered by aryanagarwal466
0

Answer:

The sixth term is 225.

Step-by-step explanation:

It is given that fifth term of an AP is 75.

and eighth term of an AP is 525.

We need to determine sixth term.

Arithmetic Progression (AP) is a sequence of numbers obtained in order where the difference between any two consecutive numbers is a constant value. The constant difference is called common difference.

The general term is a_{n} =a+(n-1)d

Applying it to fifth term as per given information.

75=a+4d ---(1)

Applying it to eighth term as per given information.

525=a+7d ---(2)

Subtraction, we get

(2)-(1)

7d-4d=525-75

3d=450

d=150

Now, sixth term can be written as

=a_{5} +d

=75+150

=225

#SPJ2

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