Maths / Arithmetic Progression / Find First Term when Common Difference, Number of Terms and Sum of N Terms is given

QUESTION

If the first term of an AP is - 3 and the common difference is 2, what is the sum of the first 10 terms of the AP ?

EXPLANATION
Explain TypeExplanation Content
Text

$\dpi{120} \fn_jvn \large S_n=\frac{n}{2}\left [ 2a+(n-1)d \right ]n=10;a=-3,d=2;S_n=5\left [ a(-3)+9\times(2) \right ]$

$\dpi{120} \fn_jvn \large S_n=5\left [ -6+18 \right ]$

$\dpi{120} \fn_jvn \large S_n=60$

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