Arithmetic and Geometric Sequences and Series

Find the next three terms of the sequence: 5, 11, 17,...

Find the next three terms of the sequence: 1.3, 3.8, 6.3, ...

Find the next two terms of the sequence: 405, 135, 45,...

Find the next term of the sequence: $$\frac{1}{3},\ \frac{5}{6},\ \frac{25}{12},...$$

Find the 20th term in the sequence -4, -13, -22,... using the formula $$a_n=a_1+\left(n-1\right)d$$

Find $$a_{43}$$ for 5, 9, 13, 17,...

Use the formula $$a_n=a_1\cdot r^{\left(n-1\right)}$$ Find the 9th term for the sequence $$\frac{1}{5},\ 1,\ 5,\ ...$$

Find $$a_6$$ for 540, 270, 135, ...

How many terms, n, are in this series? 6+13+20+27+...+76. Use the formula $$a_n=a_1+(n-1)d$$ .

Find the sum of the first 9 terms of the sequence: -1 + 1 + 3 + ... (Hint: You have to find $$a_9$$ first)