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ava4460
29.01.2021 •
Mathematics
Easy math (17 points))
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Ответ:
A-8.25 B-43.2 C-248.5
Step-by-step explanation:
Ответ:
A-8.25
B-43.2
C-248.5
Step-by-step explanation:
Ответ:
Below in bold.
Step-by-step explanation:
1/t + 3/t + 5/t + ...+ t-1/t
This is an arithmetic series in which the common difference is 2/t.
a) The number of terms = [ (last term - first term) / common difference] + 1
= [(t-1)/t - 1/t) / 2/t] + 1
= (t - 2)/t * t/2 + 1
= (t -2)/2 + 1
= (t-2) / 2 + 2/2
= t/2.
b). Sum of the series (n/2)(a + l) where a = first term , n = number of terms and l = last term, so
Sum = (t/2)/2 ( 1/t + (t-1)/t)
= t/4 * 1
= t/4.
c). (1/4+3/4 )+ (1/6+3/6+5/6 )+( 1/8+3/8+5/8+7/8) +...+(1/50+3/50+5/50+49/50)
Using the results from a) and b):
The sum = 4/4 + 6/4 + 8/4 + + 50/4.
= 1 + 1.5 + 2 + + 12.5
This is an AS with common difference = 0.5,
Number of terms = [(12.5 -1) / 0.5] + 1
= 23 + 1
= 24, so
Sum = (24/2)(1 + 12.5)
= 12 * 13.5
= 162.