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thezbell
14.11.2019 •
Mathematics
Show work and explain with formulas.
10. find the sum (see picture).
11. find the sum of the geometric series: a_2 = -36, a_5 = 972, n = 7
12. find the first term: s_n = 315, a_n = 5, r = 1/2, n = 6
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Ответ:
Step-by-step explanation:
10.
The formula of a sum of terms of a geometric sequence:
We have:
Therefore:
Substitute a₁ = 5, r = 2 and n = 9:
==========================================
11.
We have
We know:
Therefore
Substitute:
Calculate the first term:
Put a₁ = 12, r = -3 and n = 7 to the formula of a sum:
==========================================
12.
We have
We know:
Substitute:
Check for the given sum:
Substitute a₁ = 160, r = 1/2 and n = 6:
CORRECT :)
Ответ:
Option:C 2/3
Equation= y=2/3x-5