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AfilCa [17]
4 years ago
8

Evaluate each geometric series described 1-4+16-64...., n=6

Mathematics
2 answers:
kykrilka [37]4 years ago
8 0

Answer:

-819

Step-by-step explanation:

This is Geometric series with first term as '1' and a common ratio of '-4' (-4÷1 = -4)

At n=5, the term is (-64×-4) = 256

At n=6, the term is (256×-4) = -1024

1-4+16-64+257-1024 = -819

xz_007 [3.2K]4 years ago
5 0

Answer:

- 819

Step-by-step explanation:

The sum to n terms of a geometric series is

S_{n} = \frac{a(r^n-1)}{r-1}

where a is the first term and r the common ratio

Here a = 1 and r = - 4 ÷ 1 = - 4, thus

S_{6} = \frac{1((-4)^6-1)}{-4-1} = \frac{4096-1}{-5} = \frac{4095}{-5} = - 819

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Answer:

answers below

Step-by-step explanation:

hi! you can plug in the x values given into the equation and solve for y to get your table values.

y=-1(0)+2

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hope this helps!

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4 years ago
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3 years ago
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Step-by-step explanation:

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3 years ago
Within 11 years, the age of Peter will be half the square of the age he was 13 years ago. Calculate the current age of Peter. Re
OLga [1]

Answer:

21

ctto JBarnum

Step-by-step explanation:

P+11=(1/2)(P-13)^2

P+11=(1/2)(P^2-26p+169)

2(P+11)=(1/2)(2)(P^2-26p+169)

2P+22=P^2-26p+169

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(P-7)(P-21)=0

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checking:

21+11=32

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32=(1/2)64

32=32

correct

4 0
3 years ago
25/9 converted into a mixed number equals
blagie [28]
First figure out how many times 9 can go into 25 **do the highest amount of times it can go in-
<span><span>9x1=9 </span><span>9x2=18 </span><span>9x3=27 </span><span>9x4=<span>36
nine can go in 2 times because 3 times would be way to much
so you're mixed number would be 2
now to figure out you're numerator do 25-18=7
Now it would be 2 7/25
so you're mixed number,then the numerator,finally denomantor ALWAYS stays the same.
                *IF YOU'RE NUMERATOR AND DENOMANTOR CAN BE REDUCED THEN REDUCE</span></span></span>
6 0
4 years ago
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