Question

Q. If Sn denotes the sum of n terms of an A. P, then S8 - S7 is the _____ term of the AP.

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Answer 1

Answer:

hey dear good afternoon here is your answer hope it helps you have a sweet afternoon

Step-by-step explanation:

ANSWER

Let 1st term of A.P=a

and common difference =d

We have to prove that

S12=3(S8−S4)

S12=212[2a+(12−1)d]

S8=28[2a+(8−1)d]

S4=24[2a+(4−1)d]

Now, R.H.S=3(S8−S4)

=3[28(2a+(8−1)d−24(2a+(4−1)d]

=3[8x+28d−4a−6d]

=6(2a+11d)

=212[2a+(12−1)d]

=S12

=L.H.S

Answer 2

Step-by-step explanation:

ANSWER

Let 1

st

term of A.P=a

and common difference =d

We have to prove that

S

12

=3(S

8

−S

4

)

S

12

=

2

12

[2a+(12−1)d]

S

8

=

2

8

[2a+(8−1)d]

S

4

=

2

4

[2a+(4−1)d]

Now, R.H.S=3(S

8

−S

4

)

=3[

2

8

(2a+(8−1)d−

2

4

(2a+(4−1)d]

=3[8x+28d−4a−6d]

=6(2a+11d)

=

2

12

[2a+(12−1)d]

=S

12

=L.H.S

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