1) Find the first term and the common difference of an arithmetic sequence whose \(4th\) term is \(2\) and \(9th\) term is \(17\). Write an explicit formula for the sequence.
2) Find the value(s) of \(y\) that make the sequence arithmetic: \(2y+3\), \(y+7\), \(3y-4\) …
3) Find two arithmetic means between \(22\) and \(29\).
4) Express the sum using summation notation: \(2+-3+-8+...-2153\).
5) Find the sum of the arithmetic series: \(\large\frac{4}{5}+\frac{1}{5}+-\frac{2}{5}+-1+...+-\frac{41}{5}\).
6) Find the \(4th\), \(5th\), and \(6th\) terms of the arithmetic series: \(a_1=13, {a}_{n}=-71, {S}_{n}=-638\).
7) Find the sum of the odd numbers from \(9\) to \(99\).
8) How many terms must be added together in the arithmetic sequence whose first term is\(12\) and whose common difference is \(4\) to obtain a sum of \(1392\).
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2) Find the value(s) of \(y\) that make the sequence arithmetic: \(2y+3\), \(y+7\), \(3y-4\) …
3) Find two arithmetic means between \(22\) and \(29\).
4) Express the sum using summation notation: \(2+-3+-8+...-2153\).
5) Find the sum of the arithmetic series: \(\large\frac{4}{5}+\frac{1}{5}+-\frac{2}{5}+-1+...+-\frac{41}{5}\).
6) Find the \(4th\), \(5th\), and \(6th\) terms of the arithmetic series: \(a_1=13, {a}_{n}=-71, {S}_{n}=-638\).
7) Find the sum of the odd numbers from \(9\) to \(99\).
8) How many terms must be added together in the arithmetic sequence whose first term is\(12\) and whose common difference is \(4\) to obtain a sum of \(1392\).
Solution Bank