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yKpoI14uk [10]
3 years ago
14

What 30+30+30+4+60+9+80

Mathematics
1 answer:
mihalych1998 [28]3 years ago
3 0

Answer:

243

Step-by-step explanation:

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Use the formula to evaluate the series 1+2+4+8+...a10
valina [46]

Answer:

The sum of the given series is 1023

Step-by-step explanation:

Geometric series states that a series in which a constant ratio is obtained by multiplying the previous term.

Sum of the geometric series is given by:

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

where a is the first term and n is the number of term.

Given the series: 1+2+4+8+.................+a_{10}

This is a geometric series with common ratio(r) = 2

We have to find the sum of the series for 10th term.

⇒ n = 10 and a = 1

then;

S_n = \frac{1(1-2^{10})}{1-2} =\frac{1-1024}{-1} =\frac{-1023}{-1}=1023

Therefore, the sum of the given series is 1023



8 0
3 years ago
Hey can some one help me, Define a variable and write each phrase as an algebraic expression:
Elena L [17]

Answer:

1. <em>d</em> - 6 ft

where <em>d</em> is the width

2. <em>t</em> + 6 h/week

where <em>t</em> is the amount of time per week Theodore studies

3. <em>t’</em> - 6 a

where <em>t’</em> is Tracy’s age

4. (<em>k</em>/3) - 2

where <em>k</em> is the points that the panthers scored

Step-by-step explanation:

Write the variable and do the operations as described!

“less than” means subtraction, “more […] than” means addition and “one-third of” means division by 3.

8 0
3 years ago
Calculate the area of the shade region at the right. Us the appropriateunit
Romashka [77]

Answer:

17 X 8 = 136^

area of a triangle

0.5 X b X h

0.5 X 8 X 17 = 68 cm^

136 - 68 = 68 cm^

total shaded area = 68 cm^

4 0
3 years ago
What equals -8 when multiplied but when added together is -7​
kirza4 [7]

Answer:

-8 and 1

Step-by-step explanation:

-8 × 1 = -8

-8 + 1 = -7

3 0
3 years ago
What is the area of the triangle? 10, 4, and 26
Leno4ka [110]

Answer:

I cannot help without a picture, so please send one if you can?

Step-by-step explanation:

4 0
3 years ago
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