nth Term of an AP

IMPORTANT

nth Term of an AP: Overview

This topic covers concepts such as General Term of an Arithmetic Progression, nth Term from the Last in a Finite Arithmetic Progression, and Selection of Terms in Arithmetic Progression.

Important Questions on nth Term of an AP

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If the last term of the arithmetic progression -9, -5, -1, ...... is 67, then how many terms are there in the progression?

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The sixth term of an arithmetic progression whose first term is 2 and the common difference is 7 is

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At constant pressure certain quantity of water at 24oC is heated. It was observed that the rise of temperature was found to be 4oC per minute. Calculate the time required (in minutes) to raise the temperature of water to 100oC at sea level.

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Which of the following relations hold true for an A.P. if the 9th term of the A.P. is zero?

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Find n, if the nth term of the following A.P. is 66: 3, 6, 9, 12, ......

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Find the 7th term from the end of the Arithmetic Progression 7, 10, 13, , 184.

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Find n if the nth term of the A.P. 5, 8, 11, 14,....... is 68.

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In an AP, given a=2, d=8, Sn=90, find n and an.

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Find the 23rd term of the following A.P.: 9, 4, -1, -6, -11,....

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8th term of an A.P. 10, 7, 4,  is:

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Which term of the A.P. 3,8,13,18,........ is 78?

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If third term of an A.P. is 16 and 7th is term is 12 more than 5th term, then find A.P

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Which term of an A.P. 20, 1914, 1812, 1734 ..... is the first negative term?

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If 3rd and 9th term of an A.P are 4 and -8 respectively then which term of its will be zero?

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Which term of A.P. 848076, ... is zero?

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If sum of n terms of an A.P is 3n22+5n2, then find its 25th term

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Four numbers are in arithmetic progression.If their sum is 20 and sum of their squares is 120, then find the numbers

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Is 299 a term of sequence 5,11,17,23....? (Yes/No)

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Write 5th term from last of A.P.

3,5,7....201

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If sum of first n terms of an A.P is 3n2+5n, then which term of series is 164.