91Ó°ÊÓ

Find the sum of all the four-digit positive integers.

Find the smallest integer \(n\) such that \(0.8^{n}<10^{-100}\).

For Exercises \(9-14,\) consider an arithmetic sequence with first term b and difference d between consecutive terms. (a) Write the sequence using the three-dot notation, giving the first four terms. (b) Give the \(100^{\text {th }}\) term of the sequence. $$ b=7, d=3 $$

Find the sum of all the four-digit odd positive integers.

Find the smallest integer \(n\) such that \(0.9^{n}<10^{-200}\).

For Exercises \(9-14,\) consider an arithmetic sequence with first term b and difference d between consecutive terms. (a) Write the sequence using the three-dot notation, giving the first four terms. (b) Give the \(100^{\text {th }}\) term of the sequence. $$ b=8, d=-5 $$

For Exercises \(9-14,\) consider an arithmetic sequence with first term b and difference d between consecutive terms. (a) Write the sequence using the three-dot notation, giving the first four terms. (b) Give the \(100^{\text {th }}\) term of the sequence. $$ b=0, d=\frac{1}{3} $$

For Exercises \(9-14,\) consider an arithmetic sequence with first term b and difference d between consecutive terms. (a) Write the sequence using the three-dot notation, giving the first four terms. (b) Give the \(100^{\text {th }}\) term of the sequence. $$ b=-1, d=\frac{3}{2} $$

In the decimal expansion of \(0.9^{9999}\), how many zeros follow the decimal point before the first nonzero digit?

Find the sum of all the four-digit positive integers that are evenly divisible by 5 .