Mathematics, four units · Ages 16–17
Finding a_1 and d in Arithmetic Sequences
Name: Date:
Use the given terms to find the common difference (d) and the first term (a_1) for each arithmetic sequence. Write your answers in simplest form.
Given a_3 = 11 and a_4 = 15. Find d and a_1.
Given a_2 = 9 and a_6 = 25. Find d and a_1.
Given a_4 = 22 and a_8 = 46. Find d and a_1.
Given a_3 = 20 and a_7 = 8. Find d and a_1.
Given a_5 = -2 and a_11 = -20. Find d and a_1.
Given a_6 = 14.5 and a_10 = 22.5. Find d and a_1.
In an arithmetic sequence, a_7 = 53 and a_13 = 101. Find d, a_1, and the value of a_20.
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Given a_3 = 11 and a_4 = 15. Find d and a_1.
d = 4, a_1 = 3
Given a_2 = 9 and a_6 = 25. Find d and a_1.
d = 4, a_1 = 5
Given a_4 = 22 and a_8 = 46. Find d and a_1.
d = 6, a_1 = 4
Given a_3 = 20 and a_7 = 8. Find d and a_1.
d = -3, a_1 = 26
Given a_5 = -2 and a_11 = -20. Find d and a_1.
d = -3, a_1 = 10
Given a_6 = 14.5 and a_10 = 22.5. Find d and a_1.
d = 2, a_1 = 4.5
In an arithmetic sequence, a_7 = 53 and a_13 = 101. Find d, a_1, and the value of a_20.
d = 8, a_1 = 5, a_20 = 157