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Use a1=6 and d=8 to write the first 5 terms of the sequence and the 20th term.

User Christoph Glur
by
3.4k points

1 Answer

6 votes
6 votes

Answer:

right

Explanation:

s

a

k

+

1

=

a

k

+

2

and

a

1

=

6

a

2

=

a

1

+

2

=

6

+

2

=

8

a

3

=

a

2

+

2

=

8

+

2

=

10

a

4

=

a

3

+

2

=

10

+

2

=

12

and

a

5

=

a

4

+

2

=

12

+

2

=

14

and hence first five terms are

{

6

,

8

,

10

,

12

,

14

}

As

a

k

+

1

=

a

k

+

2

, each term is

2

more than previous term

it is an arithmetic sequence with first term as

a

1

and common difference

d

and hence

n

t

h

term is

a

n

=

a

1

+

(

n

1

)

d

and hence

n

t

h

term of the sequence is

a

n

=

6

+

(

n

1

)

×

2

=

6

+

2

n

2

=

2

n

+

4

User Bobbie
by
3.6k points