Question

Find first 4 terms and the 10th term of each question. 1)n2+3 2) 2n2

Answer 1

Answer:

1) 4, 7, 12 and 19

Tenth term = 103

2) 2, 8, 18, 32

Tenth term =200

Step-by-step explanation:

Given the nth term of the sequence

1) f(n)= n²+3

When n = 1

f(1) = 1²+3

f(1) = 4

When n = 2

f(2) = 2²+3

f(2) =4+3

f(2) = 7

When n = 3

f(3) = 3²+3

f(3) = 9+3

f(3)=12

When n =4

f(4) = 4²+3

f(4) = 16+3

f(4) = 19

The first four terms are 4, 7, 12 and 19

f(10)= 10²+3

f(10) = 103

Tenth term is 103

2) f(n) = 2n²

When n = 1

f(1) = 2(1)²

f(1) = 2

When n = 2

f(2) = 2(2)²

f(2) = 2(4)

f(2) = 8

When n= 3

f(3)= 2(3)²

f(3) = 2(9)

f(3) = 18

When n= 4

f(4) = 2(4)²

f(4) = 2(16)

f(4) =32

The first four terms are 2, 8, 18, 32

f(10) = 2(10)²

f(10) =2(100)

f(20) = 200

The tenth term is 200