LanyiaJ462601 LanyiaJ462601
  • 25-10-2022
  • Mathematics
contestada

can anyone help me i have a picture of my math question

Respuesta :

EdX226171 EdX226171
  • 25-10-2022

Answer:

-8, -5, -2, 1, 4

Explanation:

The given sequence is an arithmetic sequence -8, -5, -2 ....

The nth term of the sequence is expressed as;

Tn = a+ (n-1)d

a is the first term = -8

d is the common difference = -5 -(-8) = -2-(-5)

d = -5+8 = -2+5 = 3

Get the 4th term;

n = 4

T4 = -8+(4-1)*(3)

T4 = -8+3(3)

T4 = -8+9

T4 = 1

Get the 5th term:

n = 5

T5 = -8 + (5-1)*3

T5 = -8+4(3)

T5 = -8 + 12

T5 = 4

Hence the next two terms of the sequence are 1 and 4

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