Quantitative Reasoning

Miscellaneous

Easy

The sum of the first 10 terms of an Arithmetic Progression is 250. If the first term is 15, what is the 10th term?

✅ Correct Option: 2

Use $S_n = \frac{n}{2}(a + l)$ where $l$ is the last term.

$250 = \frac{10}{2}(15 + l) \Rightarrow 50 = 15 + l \Rightarrow l = 35$ .

So the 10th term is 35.

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Match List-I with List-II (Symbols have their usual meaning)

List-I (Expression)	List-II (Definitions)
(A) $a_n = a + [n-1]d$	(I) $n^{th}$ term of Geometric Progression
(B) $s_n = \frac{n}{2}[2a + (n-1)d]$	(II) Sum of n terms of Geometric Progression
(C) $a_n = ar^{n-1}$	(III) $n^{th}$ term of Arithmetic Progression
(D) $s_n = a\left(\frac{r^n - 1}{r-1}\right)$	(IV) Sum of n terms of Arithmetic Progression

Choose the correct answer from the options given below:

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The 10th term of the A.P. 1, 5, 9, 13, ..., is :

The sum of the first 10 terms of an Arithmetic Progression is 250. If the first term is 15, what is the 10th term?

Solution

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