Answer:
a. 34, 67.
b. -20 1/2, -48
Step-by-step explanation:
a. the sequence is 7, 10, 13. Meaning that 3 is added to 7 to get 10, and 3 is added to 10 to get 13.
<u>Let's find the 10th and 21st terms by adding 3:</u>
7, 10, 13 + 3, 16 + 3, 19 + 3, 22 + 3, 25 + 3, 28 + 3, 31 + 3, 34 + 3, 37 + 3, 40 + 3, 43 + 3, 46 + 3, 49 + 3, 52 + 3, 55 + 3, 58 + 3, 61 + 3, 64 + 3, 67 + 3.
34, and 67, the 2 bolded numbers represent the 10th and 21st terms.
b. the sequence is 2, -1/2, -3. Meaning that -2 1/2 is subtracted from 2 to get to -1/2, and subtracted -2 1/2 from -1/2 to get to -3.
<u>Let's find the 10th and 21st terms by subtracting -2 1/2:</u>
2, -1/2, -3 -2 1/2, -5 1/2 - 2 1/2, -8 - 2 1/2, -10 1/2 - 2 1/2, -13 - 2 1/2, -15 1/2 - 2 1/2, -18 - 2 1/2, -20 1/2 - 2 1/2, -23 - 2 1/2, -25 1/2 - 2 1/2, -28 - 2 1/2, -30 1/2 - 2 1/2, -33 - 2 1/2, -35 1/2 - 2 1/2, -38 - 2 1/2, -40 1/2 - 2 1/2, -43 - 2 1/2, -45 1/2 - 2 1/2, -48.
-20 1/2, and -48 the 2 bolded numbers represent the 10th and 21st terms.