Question

if S13 denotes the sum of n terms of an Ap then S12-S11 then term of the Ap.
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Answer 1

Answer:

S

12

−S

11

is the twelfth term of the AP

Step-by-step explanation:

We are given a arithmetic progression.

S_nS

n

denotes the sum of n terms of the A.P

Thus,

S_{12}S

12

is the sum of 12 terms of AP

S_{11}S

11

is the sum of first 11 terms of AP

Then,

S_{12}-S_{11}S

12

−S

11

= Sum of first 12 terms - Sum of first 11 terms

= 12^{th}\text{ term}=12

th

term

S_{12}-S_{11}S

12

−S

11

is the twelfth term of the AP