Is 6.5 a member of the arithmetic progression a (n), in which a1 = -2.25 and a11 = 10.25?
| August 22, 2021 | education
a11 = a1 + (11 – 1) * d;
10.25 = – 2.25 + 10d;
d = 12.5 / 10;
d = 1.25.
6.5 = – 2.25 + (n – 1) * 1.25;
6.5 = – 2.25 + 1.25n – 1.25;
1.25n = 10;
n = 8 is a positive integer, =>, the number 6.5 is a member of this sequence.
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