thisbegaby
11.08.2019 •
Mathematics
Is this correct? the writing in red is all my work. it's about sigma notation.
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Ответ:
Step-by-step explanation:
OK. It's an arithmetic sequence:
The explicit formula of an arithmetic sequence:
Substitute:
The sigma notation of the sum of the first ten terms:
What are your mistakes:
The first ten terms, not from 20th to 29th (you wrote 6.5?)
Ответ:
Step-by-step explanation:
If you have an arithmetic sequence
a₁ + a₂ + a₃ + … + aₙ
the general sigma notation for the sum of the first n terms is
k = 1 means that you start at the first term and keep incrementing until k = n.
The formula for the nth term of an arithmetic sequence is
aₙ = a₁ + (n - 1)d
In your sequence,
a₁ = 20 and d= -1.5, so
aₙ = 20 - 1.5(n - 1) =20 - 1.5n + 1.5 = 21.5 - 1.5n
Thus, the sigma notation for your sequence is
Ответ: