37. The sum of first three terms in an arithmetic progression is 24 and the sum of their squares is 224. Find the first three te
rms of this arithmetic progression.
1 answer:
Answer:
12, 8, and 4
Step-by-step explanation:
a + d + a + a - d = 24
3a = 24 ⇒ [ a = 8 ]
and (a + d)² + a² + (a - d)² = 224
3a² + 2d² = 224
2d² = 224 - 192 = 32
d² = 16
[ d = ±4 ]
∴ The first three terms to A.P are
a + d = 8 + 4 = 12
a - = 8
a - d = 8 - 4 = 4
∴ Three terms are 12 , 8, and 4
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