Math, asked by Anonymous, 1 year ago

The 54th term of Arithmetic series is --61 and its 4th term is 64 find its 23rd terms

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Answered by Anonymous
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Hi Mate!!!

Nth term in A.P is = a + ( n -1 ) d

Where a is ist term , n is no. of terms and d is common difference.


=>. T54th = a + 53d

=>. -61 = a + 53d .....1


And


=>. T4th = a + 3d

=>. 64 = a + 3d ......2


From 1 and 2

-125 = 50d

=>. d = -2.5


Now put value of d in 2

=>. a = 143 /2


T23rd term = a + 22d


T23rd = 143 / 2 + 22 ( -2.5)

=>. 16.5


Have a nice time....
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