find 15th term form end of the AP: 21,42,63,84... 585
Answers
Answer:
reverse the ap
now,
a=585
d=-21
a15=a+14d
a15=585 +14×(-21)
a15=585-294
a15=291
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The 15th term from the end term of the arithmetic progression would be 291
Given
- AP: 21,42,63,84... 585
To find
- 15th term form end
solution
we are provided with an arithmetic progression and asked to find the 15 the term from the end term of the given arithmetic progression.
we know that arithmetic progression is a progression obtained by adding a fixed number known as common difference to a particular term known as the first term.
in the given arithmetic progression the first term would be 21 and the last term would be 585.
therefore,
a = 21
l = 585
common difference, d= 42-21
or, d = 21
the end term of the arithmetic progression is given by the standard equation,
l - (n-1)d
or, 585 - (15-1)21
or, 585 - 14×21
or, 585 - 294
or, 291
therefore, the 15th term from the end term of the arithmetic progression would be 291.
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