the sum of 45 terms of an A.P
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The sum of 45 terms of an A. P. is 3195.
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Let the first term be 'a'
Common difference be 'd'
s45 = 3195 \\ \frac{45}{2} \times (2a + (45 - 1)d = 3195 \\ \frac{45}{2} \times (2a + 44d) = 3195 \\ 45 \times (a + 22d) = 3195 \\ a + 22d = 71 \\ a + (23 - 1)d = 71 \\ t23 = 71
hope it helps
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