Find an expression for the nth term (tn) in each of the following sequence:
2 answers:
Answer:
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Work Shown:
The first term is a = 2 and the common difference is d = 4, since we're adding 4 to each term to get the next term.
Which is the answer.
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If you were to plug in say n = 3, then we get
showing that 10 is the third term, which matches with what the original sequence shows. I'll let you check the other values of n to fully confirm the answer.
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ANSWER
to the nearest thousandth.
EXPLANATION
The given irrational number is
We use the calculator to evaluate this to obtain,
To round to the nearest thousandth means we are rounding to 3 decimal places.
The third decimal place is 5.
The next number is 5 so we round up.