CUET UG 2025 — General Test Quantitative Reasoning

The first term $a = 25$a=25, last term $l = 180$l=180, and sum $S = 1025$S=1025.

For an arithmetic progression, the sum of all terms is:

$$S = \dfrac{n}{2} \times (a + l)$$S=2n​×(a+l)

where $n$n is the number of terms.

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Substituting the known values:

$$1025 = \dfrac{n}{2} \times (25 + 180)$$1025=2n​×(25+180)

$$1025 = \dfrac{n}{2} \times 205$$1025=2n​×205

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$$2050 = 205n$$2050=205n

$$n = \dfrac{2050}{205}$$n=2052050​

$$n = 10$$n=10

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Therefore, there are 10 terms in the arithmetic progression.