Pregunta
(1) The fifth term of an arithmetic sequence is 0 and thirteenth term
is 12 . Determine the sum of the first 21 terms of the sequence.
2) The
term of an arithmetic sequence is 6 and the sum
is 12 . Determine the sum of the first 21 terms of the sequence.
2) The
Ask by Kelley Hart. in South Africa
Jan 23,2025
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The sum of the first 21 terms of the arithmetic sequence is 189.
Solución

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Como
Beyond the Answer
In an arithmetic sequence, the nth term can be expressed as
, where
is the first term and
is the common difference. Given that the fifth term
and the thirteenth term
, you can set up two equations:
and
. Solving these will reveal
and
. The sum of the first 21 terms can be calculated using
, resulting in 126.
For the second sequence, knowing that the first term is 6, you could then express the sum of n terms as
. If you know how many terms are summed, you can quickly plug in the values, and to find the common difference
, you’ll need either the total sum or another term specified in the sequence. Getting those values will make everything click!

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