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Which of the following is the correct expanded form for the series below?

Which of the following is the correct expanded form for the series below?-example-1

2 Answers

4 votes

The first one is correct

Explanation:

simply plug in numbers from 0 to 4 in the position of n, which, in this case is -2^n.

the form comes out to:

-2^0, -2^1, -2^2, -2^3, -2^4

notice how the exponent does not include the negative, so it always remains negative. The one you selected would have been correct if it was (-2)^n

User Kolrie
by
7.6k points
4 votes

Answer:

the correct answer is option B

Explanation:

given ,


\sum_(n= 0)^(4)-2^n

for the series expansion we have to put the value in the function one by one

by putting value n = 0 the value -2ⁿ = -2⁰ comes out to be 1

by putting value n = 1 the value -2¹ = -2 comes out to be -2

by putting value n = 2 the value -2² = 4 comes out to be 4

by putting value n = 3 the value -2³ = -8 comes out to be -8

by putting value n = 4 the value -2⁴ = 16 comes out to be 16

hence, the series formed is

= 1 - 2 + 4 - 8 + 16

the correct answer is option B

User Adnan Ahmad
by
8.7k points

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