Verified Answer :

apologiabiology

sum with first term is a1 and commn ratio is r and number of terms is n is

\(\frac{a_1(1-r^n)}{1-r}\)

first term is 1
an=1(2)^(n-1)
common ratio is 2
to n=10 (10-1=9)

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

A is answer

The sum of the geometric series 2⁰ + 2¹ + 2² + 2³ + 2⁴ + … + 2⁹ is 1023 after applying the sum formual for geometric sequence option (a) 1023 is correct.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have a geometric sequence is given:

2⁰ + 2¹ + 2² + 2³ + 2⁴ + … + 2⁹

The first term of the geometric sequence:

a = 2⁰ = 1

The common ratio:

r =2¹/2⁰

r =2

The sum can be evaluated using the formula:

S = a(rⁿ - 1)/(r-1)

n = 10

S = 1(2¹⁰ - 1)/(2-1)

S = 1024 - 1

S = 1023

Thus, the sum of the geometric series 2⁰ + 2¹ + 2² + 2³ + 2⁴ + … + 2⁹ is 1023 after applying the sum formual for geometric sequence option (a) 1023 is correct.

Learn more about the sequence here:

brainly.com/question/21961097

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