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

List-I (Expression)List-II (Definitions)
(A) an=a+[n−1]da_n = a + [n-1]d(I) nthn^{th} term of Geometric Progression
(B) sn=n2[2a+(n−1)d]s_n = \frac{n}{2}[2a + (n-1)d](II) Sum of n terms of Geometric Progression
(C) an=arn−1a_n = ar^{n-1}(III) nthn^{th} term of Arithmetic Progression
(D) sn=a(rn−1r−1)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:

Solution

✅ Correct Option: 3

an=a+(n−1)da_n = a+(n-1)d is the nth term of an AP. sn=n2[2a+(n−1)d]s_n = \frac{n}{2}[2a+(n-1)d] is the sum of n terms of an AP. an=arn−1a_n = ar^{n-1} is the nth term of a GP. sn=arn−1r−1s_n = a\frac{r^n-1}{r-1} is the sum of n terms of a GP.

So A-III, B-IV, C-I, D-II.

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