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3 years ago

Write the first five terms of the arithmetic sequence. a1 = 9; d = -2

Mathematics

1 answer:

asambeis [7]3 years ago

4 0

Answer:

nth term = 1 1/2n -1

Step-by-step explanation:

The arithmetic sequence formula is:

a n = a 1 + ( n – 1 ) d

Where: a n

is the nth term in the sequence

a 1

is the first term in the sequence

is the term you are solving for

is the common difference for any pair of consecutive numbers in the sequence.

First Term or

n = 1 :

This is given in the problem.

a 1 = 9

Second Term or

n = 2 :

Substitute

2 for n

in the formula and substitute the values from the problem giving:

a 2 = 9 + ( ( 2 – 1 ) × -2 )

a 2 = 9 + ( 1 × -2 )

a 2 = 9 +-2

a 2 = 7

Fifth Term or n = 5 :

Substitute in the formula and substitute the values from the problem giving:

a 5 = 9+ ( ( 5– 1 ) × -2 )

a 5 = 9 + ( 4 × -2 )

a 2 = 9 + -8

a 2 = 1

Using this same process you should be able to determiner the

Third Term or n = 3

: and Fourth Term or n = 4 :

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</span>
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