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3 years ago

BRAINLEST Find the sum of the first 6 terms of the infinite series: 1 - 2 + 4 - 8+...

Mathematics

2 answers:

arsen [322]3 years ago

6 0

Answer:

-21

Step-by-step explanation:

1-2+4-8+16-32

=-21

Thepotemich [5.8K]3 years ago

3 0

Answer:

The sum of the first 6 terms of the infinite series will be - 21.

Step-by-step explanation:

In this case, the infinite geometric series 1 - 2 + 4 - 8 + ... is represented by the following summation,

$\sum _{{k=0}}^{{n}}(-2)^{k}$

Therefore if we continue this pattern, the first 6 terms will be 1 - 2 + 4 - 8 + 16 - 32. Adding these terms,

1 - 2 + 4 - 8 + 16 - 32

= - 1 + 4 - 8 + 16 - 32

= 3 - 8 + 16 - 32 = - 5 + 16 - 32

= 11 - 32 = Solution : - 21

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serg [7]

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3 years ago

A car traveled at an average rate of 51 miles per hour on one highway. It then traveled at an average rate of 71 miles per hour

sergiy2304 [10]

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3 years ago

Sarah hiked a path that took her from 34 feet below sea level to 52 feet above sea level . What was the change in her elevation?

Ugo [173]

Answer:

86 ft

Step-by-step explanation:

First method: Logical thinking

Think of the position 34 ft below sea level as -34.

The position above sea level is 52.

You need to find the distance between -34 and 52.

You go from 34 ft below sea level, -34 to 0. That is 34 ft.

Then you go from sea level, 0 ft, to 52 ft above sea level. That is 52 ft.

The total is 34 ft + 52 ft = 86 ft

Answer: 86 ft

Second method: Calculate a distance in math

The distance between two points on a number line is the absolute value of the difference of their coordinates. The coordinates are -34 and 52. Subtract the numbers in either order, and take the absolute value of the difference.

|-34 - 52| = |-86| = 86

If you did it in the other order, you'd get the same answer.

|52 - (-34)| = |52 + 34| = |86| = 86

Answer: 86 ft

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3 years ago

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Rzqust [24]

Answer:

Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago