Class 10

Math

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Arithmetic Progressions

The sum of first $n$ terms of the $A.P$. $2 +8 +18 +32 +........$ is ......

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If the common difference of an AP is $−6,$ then what is $a_{16}−a_{12}?$

The $19_{th}$ term of an A.P. is equal to three times its $6_{th}$ term. If its $9_{th}$ term is $19,$ find the A.P.

The first and the last terms of an AP are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is then sum?

In an arithmetic sequence $$1, -2, -5, -8 $$ ....., then find the $$12^{th}$$ term.

Find the common difference of an A.P. whose first term is 5 and the sum of its first four terms is half the sum of the next four terms.

Check whether the following sequence is an AP or not. If it is an AP, find the common difference 'd' and write three more terms.$2,25 ,3,27 ,......$

Find the $18$th term of the AP $2 ,18 ,50 ,98 ,.....$.