Question

The sum of first three terms of an arithmetic sequencesthe sum of first three terms of an arithmetic sequence is 15 and somethe sum of first three terms of an arithmetic sequence is 15 and sum of first 7 terms is 63 what is the second term what is the fourth the term what is the common difference?​

Answer 1

Answer:

Sum of first n terms of an arithmetic sequence is 3n

2

+n.

Let a

1

denotes first term of the sequence,

a

2

denotes second term of the sequence,

d denotes common difference of the sequence,

S

n

denotes sum of first n terms of the sequence.

S

n

=3n

2

+n

S

1

=a

1

=3(1)

2

+1=4

S

2

=a

1

+a

2

=3(2)

2

+2=14

∴a

1

+a

2

=14

∴a

1

+a

1

+d=14

∴2a

1

+d=14

∴2(4)+d=14

∴d=6

First term of the sequence is 4 and common difference is 6.

Step-by-step explanation:

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Answer 2

Answer:

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