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A10=4(2)^10-1

How to solve that equation?

1 Answer

7 votes

Answer:

2048

Explanation:

You want the value of a10 = 4(2^(10 -1)).

Evaluation

If you don't have powers of 2 memorized, you can put this expression into your calculator or spreadsheet to get it evaluated. You will need parentheses around the exponent.

4(2^(10-1)) = 4(2^9) = 4(512) = 2048

The value of the expression is 2048.

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Additional comment

This looks like an instance of the equation for the n-th term of a geometric sequence:

an = a1·r^(n -1)

where a1 = 4, r = 2, and n = 10.

This is why we have assumed that the "-1" is part of the exponent, and that you simply want the value of the right-side expression.

If this equation means something else, then it needs to be written differently. For example, if a10 means 'a' to the 10th power, it needs to be written as a^10, and we need to be told we're solving for 'a'.

<95141404393>

A10=4(2)^10-1 How to solve that equation?-example-1
User Gal Ziv
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