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Arithmetic Progressions

Short Answer Type

171. In an A .P, the sum of first n terms is

fraction numerator 5 straight n squared over denominator 2 end fraction plus fraction numerator 3 straight n over denominator 2 end fraction

find the 20th term.

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172. Which term of the arithmetic progression 8. 14. 20, 26..........will be 72 more than its 41st term?

Solution not provided.
Ans. 53rd term

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173.

Find the term of the arithmetic progression 9, 12. 15, 18...........which is 39 more than its 36th term.

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174.

In an A .P., the sum of first n terms is $fraction numerator 3 straight n squared over denominator 2 end fraction plus fraction numerator 13 straight n over denominator 2 end fraction$ find its 25th term.

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175. The 10th term of an A .P. is 47 and its 15th term is 72. Find the A .P.

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176. The nth term (T_n) of an A .P. is given by T_n = 4n – 5. Find the sum of the first 25 terms of the A .P.

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177. The nth term (T_n) of an A .P. s given by T_n = 7n + 1. Find the sum of the first 30 terms of A .P.

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178. The 10th term of an A .P. is 57 and its 15th term is 87. Find A .P.

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179. Which term of the A .P. 3, 15, 27, 39.....will be 132 more than its 54th term.

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180. Find the sum of 1st 18^th term of an A .P. whose n^th term is 3 - 3n.

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