Question

what is the next term ing the sequence -8, -5, -2

Answer 1

Answer:

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Answer 2

The given question is we have to find what is the next term in the sequence.

The given sequence is -8, -5, -2,?

The sequence is an arithmetic sequence.

It is also known as arithmetic sequence.

It is a sequence of numbers such that the difference between the consecutive term is constant.

Eg., lets have 2,4,6,8,.... be the sequence.

the difference between each term is 2 which is constant for all consecutive successive terms.

In the given sequence

The first term is a= -8

The common difference is d=second term - first term

d=-5-(-8) =-5+8=3.

d can also be found by third term - second term

=-2-(-5)

=-2+5

=3

Therefore it is termed that on adding the number 3 to each term we get an successive term.

$- 8 \: ,\: \: - 5 \: \: \:, \: - 2 \: \: \: \: ,\: \: \: \: 1 \\ \: \: \: \: \: \: 3\: \: \: \: \: \: \: \: \: \: 3 \: \: \: \: \: \: \: \: 3$

$- 8 + 3 = - 5 \\ - 5 + 3 = - 2 \\ - 2 + 3 = 1 \\ 1 + 3 = 4$

Therefore, the final is 1.

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