Question

║⊕QUESTION⊕║
There should be no such thing as boring mathematics.
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CLASS 11
SEQUENCES AND SERIES
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Find the sum of 500 arithmetic means between 3/2 and 7/2.

Answer 1

Answer:-

$\implies \: \red{\boxed{ S_{500} \: = 1250}}$

Step - by - step explanation:-

Formula used:-

Sum of nth term ,

$\bf{S_n \: = \frac{n}{2} \bigg(first \: term \: + last \: term \bigg)}$

Solution :-

According to the question,

• First term (a) = 3/2
• Last term (l) = 7/2

Hence,

$\implies \: \bf{S_{500} \: = \frac{500}{2} \bigg( \frac{3}{2} + \frac{7}{2} \bigg) } \\ \\ \implies \: \bf{S_{500} \: = 250 \big( \frac{10}{2} \big)} \\ \\ \implies \: \boxed{ \bf{ S_{500} \: = 1250}}$

$\mathcal{sum \: of \: 500 \: terms \: between \: \frac{3}{2} \: and \: \frac{7}{2} }\\ \\ \mathcal{ is \: 1250}.$

Answer 2

Answer:

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