Question

Write an algorithm to print the given series. 5,10,15,20,25

Answer 1

Explanation:

,

10

,

15

,

20

,

25

,

30

This is an arithmetic sequence since there is a common difference between each term. In this case, adding

5

to the previous term in the sequence gives the next term. In other words,

a

n

=

a

1

+

d

(

n

−

1

)

.

Arithmetic Sequence:

d

=

5

This is the formula of an arithmetic sequence.

a

n

=

a

1

+

d

(

n

−

1

)

Substitute in the values of

a

1

=

5

and

d

=

5

.

a

n

=

5

+

(

5

)

(

n

−

1

)

Simplify each term.

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a

n

=

5

+

5

n

−

5

Combine the opposite terms in

5

+

5

n

−

5

.

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a

n

=

5

n