Question

In an Arithmetic progression, the sum of the first four terms is 20 and the
sum of first three terms is 12 then find the fourth term of the arithmetic
progression.

Answer 1

Answer:

8

Step-by-step explanation:

If the sum of first four terms and the sum of first three terms of an AP is 20 and 12 respectively, then the fourth term is 8

Step-by-step explanation:

Given

Sum of first four terms of the AP = 20

Sum of first three term of the AP = 12

Then, the fourth term is :

Sum of first four terms - sum of first three terms = 20-12 = 8

So the fourth term is 8

Answer 2

Answer:

a⁴ =8

Step-by-step explanation:

${s}^{4} = 20 \\ {s}^{3} = 12 \\ we \: know \: that \: {a}^{n} = {s}^{n} - {s}^{n - 1} \\ {a}^{4} = {s}^{4} - {s}^{3} \\ = 20 - 12 = 8 \\ \\ {a}^{4 } = 8$