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!

$$e=mc^2$$