Irina rode her bike to work at an average speed of 16 miles per hour. It started to rain, so she got a ride home along the same
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Let denote the <em>k</em>th term of the sequence. Then
where <em>d</em> is the common difference between consecutive terms in the sequence and <em>a</em>₁ is the first term.
The sum of the first <em>n</em> terms is
From the formula for , we get
So we have , and
so that
.
Then the <em>n</em>th term in the sequence is
Answer:
0.89898989.... is the correct answer
Fraction form:
Step-by-step explanation:
0.89898989.... is the correct answer because it can be written as in the simplest form. and 0.89898989.... is rational because it is a repeating number.
Any rational number is a number that can be written as a fraction, a repeating decimal, a whole number, an integer, etc. As long as the number is a number with infinite digits like π.