Given: (an) – arithmetic progression;
a1 = 0.5; d = 1.5;
Find: a1, a2, a3 -?
The formula for the n-th member of the arithmetic progression:
an = a1 + d (n – 1),
where a1 is the first term of the progression, d is the difference of the progression, n is the number of its members.
Using this formula, we write down the second and third terms of the given progression:
a2 = a1 + d (2 – 1) = a1 + d;
a3 = a1 + d (3 – 1) = a1 + 2d.
Substitute the known values of the first term and the difference and find the required terms of the progression:
a2 = a1 + d = 0.5 + 1.5 = 2;
a3 = a1 + 2d = 0.5 + 2 * 1.5 = 3.5.
Answer: a1 = 0.5; a2 = 2; a3 = 3.5.
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