Maths / Arithmetic Progression / Sum of First n Terms

QUESTION

What is the value of 11th term of an AP series,if the sum of its first 11 terms is equal to the sum of 1st 10 terms?

 OPTIONS A. 11 B. 1 C. 0 D. None of these
Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

$\dpi{80} \LARGE \because S_1_1=S_1_0$

$\dpi{80} \LARGE \Rightarrow S_1_1-S_1_0=0$

We know that,$\dpi{80} \LARGE S_n-S_n_-_1=a_n,$

so $\dpi{80} \LARGE S_1_1-S_1_0=0\Rightarrow a_1_1=0$

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