Write the first six terms of the arithmetic sequence a_{n}=a_{n-1}+4, a_{1}=-7

Polynomial arithmetic
Write the first six terms of the arithmetic sequence $$\displaystyle{a}_{{{n}}}={a}_{{{n}-{1}}}+{4},{a}_{{{1}}}=-{7}$$

2020-11-09
Step 1
Given:
$$\displaystyle{a}_{{{1}}}=-{7},{a}_{{{n}}}={a}_{{{n}-{1}}}+{4}$$
To find first six terms.
Step 2
From
$$\displaystyle{a}_{{{n}}}={a}_{{{n}-{1}}}+{4},\ {a}_{{{1}}}=-{7}$$ and $$\displaystyle{n}={2},\ {3},\ {4},\ {5}$$
we get
$$\displaystyle{a}_{{{2}}}={a}_{{{1}}}+{4}$$
$$\displaystyle=-{7}+{4}$$
$$\displaystyle=-{3}$$
$$\displaystyle{a}_{{{3}}}={1}$$
$$\displaystyle{a}_{{{4}}}={5}$$
$$\displaystyle{a}_{{{5}}}={9}$$
$$\displaystyle{a}_{{{6}}}={13}.$$
Therefore first six terms are $$\displaystyle-{7},\ -{3},\ {1},\ {5},\ {9},\ {13}.$$