Question

2,6,10,14 find the twenty fifth term of this progess

Answer 1

Answer:

The answer of this question is 98.

Answer 2

Answer:

The 25th term of the progression is 98.

Step-by-step explanation:

The given terms are in Arithmetic Progression since the next term is obtained by adding a constant to the previous term.

⇒ first term, a = 2

⇒ common difference = second term - first term

    d = 6 - 2

    d = 4

The nth term of an A.P. is given by

aₙ = a + (n - 1)d

We have to find the 25th term of this sequence.

Put n = 25,

a₂₅ = 2 + (25 - 1)(4)

a₂₅ = 2 + 24(4)

a₂₅ = 2 + 96

a₂₅ = 98

∴ The 25th term of the progression is 98.