Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n) = -6 + (n-1) (1/5)

Question

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule. 
A(n) = -6 + (n-1) (1/5)

jhannybean · Answer

$$\large a_{n}= a_{1}+(n-1)d$$ This is the formula for the Arithmetic Progression.$$\large a_{n}=-6+(n-1)(\frac{1}{5})$$your formula 
$$\large a_{1}=-6+(1-1)(\frac{1}{5})$$$$\large a_{4}=-6+(4-1)(\frac{1}{5})$$$$\large a_{10}=-6+(10-1)(\frac{1}{5})$$ Simplifying these you should be able to get your first, fourth and 10th terms :) I hope this helps!