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Find the sum using the appropriate formula to the given term. 3 + 6 + 9 +... : S10​

1 Answer

4 votes

Answer:


S_(10) = 135

Explanation:

Given sequence is:

3 + 6 + 9 +...

Here,

a = 3, d = 6 - 3 = 3, n = 10


\because S_n = (n)/(2) \{2a + (n - 1)d \} \\ \\ \therefore \: S_(10) = (10)/(2) \{2 * 3 + (10 - 1) * 3\} \\ \\\therefore \: S_(10) = 5 \{6 + 7 * 3\} \\ \\\therefore \: S_(10) = 5 \{6 + 21\} \\ \\\therefore \: S_(10) = 5 * 27 \\ \\ \huge \orange{ \boxed{\therefore \: S_(10) = 135}} \\ \\

User Arkellys
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