In the sequence 21,700, 23,172, 24,644, 26,116,... which term is 314,628?

Write out the first three terms and the last term. Then use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum.

${\sum }_{i=1}^{100}4i$

Use the graphs of the arithmetic sequences {a} and {b} to solve Exercises 51-58.

Find a₁₄+b₁₂.

Use the graphs of the arithmetic sequences {a} and {b} to solve Exercises 51-58. If {a_n} is a finite sequence whose last term is -83, how many terms does {a_n} contain?

Use the graphs of the arithmetic sequences {a} and {b} to solve Exercises 51-58. Find the difference between the sum of the first 14 terms of {b_n} and the sum of the first 14 terms of {a_n}.

Show that the sum of the first n positive odd integers,1 +3 +5 + ··· + (2n − 1), ... is n².

Use the formula $a_n=4+(n-1)(-7)$ to find the eighth term of the sequence $4,-3,-10,\dots$

Write a recursive formula for the arithmetic sequence.

$\(\left\]\lbrace\)8,2,-4,-10,\(\ldots\[\right\]\rbrace\)$

Find the general formula for the arithmetic sequence below. Without using a recursive formula, calculate the $30^{\(\th\)}$ term.

$\(\left\]\lbrace\)-9,-4,1,6,\(\ldots\[\right\]\rbrace\)$