# How do you write the first four terms of the sequence where the rule is start at 17.3 and add 0.9?

May 20, 2018

First four terms of the given Arithmetic Sequence

color(brown)(= 17.3, 18.2, 19.1, 20

#### Explanation:

It’s an Arithmetic Sequence with first term $a = 17.3$ and common difference $d = 0.9$

To find ${a}_{2} , {a}_{3} , {a}_{4}$ terms

Formula for ${n}^{t h}$ term ${a}_{n} = a + \left(n - 1\right) d$

Applying the above formula,

${a}_{2} = a + \left(2 - 1\right) \cdot d = 17.3 + 0.9 = = 18.2$

${a}_{3} = a + \left(3 - 1\right) \cdot d = 17.3 + 2 \cdot 0.9 = = 19.1$

${a}_{4} = a + \left(4 - 1\right) \cdot d = 17.3 + 3 \cdot 0.9 = = 20$