Which absolute value inequality is equivalent to the compound inequality 23 <= T <= 45? F. |T - 11| <= 34, G. |T - 45| <= 22, H. |T - 24| <= 1, I. |T - 34| <= 11

Find the limits of the sequences:
1)${\displaystyle b_n={\left(\frac{3+n}{n}\right)}^n}$
2)${\displaystyle a_n=n^{\frac{5}{n}}}$

Find the sum of the infinite geometric sequences: ${\displaystyle 48,24,12\dots }$

Prove by induction that ${\displaystyle 1+3+\cdots +(2n+1)={(n+1)}^2.}$

The sum of three numbers is 74. The second number is 10 more than the first. The third number is 2 times the first. What are the numbers?

Prove:
${\displaystyle \underset{n\to \mathrm{\infty }}{lim}\ln \left(\frac{n+1}{n}\right)=0}$

Give the first six terms of the following sequences. You can assume that the sequences start with an index of 1.
1) An arithmetic sequence in which the first value is 2 and the common difference is 3.
2) A geometric sequence in which the first value is 27 and the common ratio is $\frac{1}{3}$

A galaxy contains a parallelogram-shaped dust field. The dust field has a base of 150 miles. The height is 14% of the base. What is the area of the dust field?