5.1 Sequences, Series, and Arithmetic Progressions

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Key Formulas

Solved Examples

Step 1

Identify the first term aa, which is the first number in the list.

Step 2

a=32a = \frac{3}{2}[cite: 783].

Step 3

Calculate the common difference dd by subtracting the first term from the second term (a2a1a_2 - a_1).

Step 4

d=1232=132=22=1d = \frac{1}{2} - \frac{3}{2} = \frac{1-3}{2} = \frac{-2}{2} = -1[cite: 783].

Step 5

Verification: Check a3a2=1212=1a_3 - a_2 = -\frac{1}{2} - \frac{1}{2} = -1. It matches.

Final Answer

a=3/2,d=1a = 3/2, d = -1

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