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Alex_Xolod [135]
3 years ago
9

Write a recursive formula for the sequence 7, 12, 17, 22, 27

Mathematics
1 answer:
san4es73 [151]3 years ago
7 0

Answer:

General term

=

n

t

h

t

e

r

m

=

a

n

=

5

n

+

2

Explanation:

Here,

7

,

12

,

17

,

22

,

27

,

...

is an Arithmetic Sequence.

The

,

n

t

h

term of Arithmetic Sequence is :

a

n

=

a

1

+

(

n

−

1

)

d

,

w

h

e

r

e

,

a

1

=

first term and

d

=

common difference

We have,

a

1

=

7

and

d

=

12

−

7

=

17

−

12

=

...

=

5

So,

a

n

=

7

+

(

n

−

1

)

⋅

5

a

n

=

7

+

5

n

−

5

a

n

=

5

n

+

2

Hence,

General term

=

n

t

h

t

e

r

m

=

a

n

=

5

n

+

2

Step-by-step explanation:

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