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# Arithmetic Sequences $t_n=a+(n-1)d$

1. 1
Given the sequence: $$3, 5, 7...$$ Find the 18th term.
2. 2
Given the sequence: $$2, 7, 12...$$ Find the 12th term.
3. 3
Given the sequence: $$5, -1, -7...$$ Find the 10th term.
4. 4
Find the number of terms in the sequence:

$$4, 6, 8... 54$$
5. 5
Find the number of terms in the sequence:

$$5, 8, 11...77$$
6. 6
Find the number of terms in the sequence:

$$-9, -14, -19...-139$$
7. 7
Find a, d, $t_n$ for the following arithmetic sequence. Then find $t_{15}$.
$$t_3=11\quad ,\quad t_{10}=39$$
8. 8
Find a, d, $t_n$ for the following arithmetic sequence. Then find $t_{12}$.
$$t_2=-2\quad ,\quad t_{11}=25$$
9. 9
Find a, d, $t_n$ for the following arithmetic sequence. Then find $t_{8}$.
$$t_4={-14}\quad ,\quad t_{12}=-54$$
10. 10
Find $t_{13}$ of an arithmetic sequence given:
$$t_5=11 \quad, \quad t_{17}=59$$
11. 11
How many multiples of 5 are there from 35 to 140 inclusive?
12. 12
How many multiples of 4 are there from 24 to 124 inclusive?
13. 13
Find x so that the following are three terms of an arithmetic sequence.
$$2x ,\quad x+3 ,\quad 3x-6$$
14. 14
Find x so that the following are three terms of an arithmetic sequence.
$$x-3,\quad 2x+7, \quad 5x-3$$

Good test question!

$$e=mc^2$$