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The first term of an AP. is 5, the commo...

The first term of an AP. is 5, the common difference is 3 and the last term is 80; find the number of terms.

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first term of this A.Pis `a_1` `=5`
common difference of an A.P is given by
`d=3`
ast term of the A.P is` a _n` `=80`
the nth term of an A.P is given by.
`a_n` =`a _1` `+(n−1)d`
`=>a_n`` =5+(n−1)(3)`
`=>a_n``​=5+3n−3` ...
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RD SHARMA-ARITHMETIC PROGRESSIONS-Solved Examples And Exercises
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  2. How many terms are there in the A.P. -1,\ -5/6,\ -2/3,-1/2,\ ,(10)/3?

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  3. The first term of an AP. is 5, the common difference is 3 and the last...

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  13. How many numbers of two digit are divisible by 3?

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  14. An A.P. consists of 60 terms. If the first and the last terms be 7 and...

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  15. The sum of 4th and 8th terms of an A.P. is 24 and the sum of the 6th...

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  16. The first and the last terms of an A.P. are a\ a n d\ l respectively. ...

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  17. The sum of three numbers in A.P. is -3, and their product is 8. Find t...

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  18. Find the four numbers in A.P. whose sum is 20 and the sum of whose ...

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  19. Find the four numbers in A.P., whose sum is 50 and in which the greate...

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