Question

Find each sequence, find the first 4 terms and the 10th term

show your method
1). 3n+4

2). 4n-5

Answer 1

see explanation

Explanation:

to find the first 4 terms, substitute n = 1, 2, 3, 4 into the nth term formula

to find the 10th term , substitute n = 10 into the nth term formula

(1)

n = 1 : 3(1) + 4 = 3 + 4 = 7

n = 2 : 3(2) + 4 = 6 + 4 = 10

n = 3 : 3(3) + 4 = 9 + 4 = 13

n = 4 : 3(4) + 4 = 12 + 4 = 16

n = 10 : 3(10) + 4 = 30 + 4 = 34

the first 4 terms are 7, 10, 13, 16 , 10th term = 34

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(2)

n = 1 : 4(1) - 5 = 4 - 5 = - 1

n = 2 : 4(2) - 5 = 8 - 5 = 3

n = 3 : 4(3) - 5 = 12 - 5 = 7

n = 4 : 4(4) - 5 = 16 - 5 = 11

n = 10 : 4(10) - 5 = 40 - 5 = 35

the first 4 terms are - 1, 3, 7, 11 , 10th term = 35