Question

In an AP S10-S9 is equal to s)S10 b) S9 c)a10 d)a9​

Answer 1

In an AP S₁₀ - S₉ = a₁₀

Given :

In an AP S₁₀ - S₉

To find :

The value of S₁₀ - S₉ =

s) S₁₀

b) S₉

c) a₁₀

d) a₉

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is S₁₀ - S₉

Step 2 of 2 :

Find the value of S₁₀ - S₉

We have

aₙ = nth term of the AP

Sₙ = The sum of the first n terms of the AP

Thus we get

S₁₀ - S₉

= The sum of the first 10 terms of the AP - The sum of the first 9 terms of the AP

= (a₁ + a₂ + a₃ + a₄ + a₅ + a₆ + a₇ + a₈ + a₉ + a₁₀) - ( a₁ + a₂ + a₃ + a₄ + a₅ + a₆ + a₇ + a₈ + a₉ )

= a₁₀

Hence the correct option is c) a₁₀

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