sume añ, b₁ and care sequences of real numbers. Prove each of the following deductions. an = 3bn, bn4, an 12. lan 5 ≤ 2|bn 31, bn → 3, . an → 5. an = 3bn +7cn, bn →4, Cn2, an → 26.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 52E
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Assume an, bn and care sequences of real numbers. Prove each of the following deductions.
(a) an
3bn, bn 4,
an → 12.
(b) lan
51 ≤ 2|bn
31, bn3, an→ 5.
(c) an = 3bn +7cn,
(d) an = bn Cn, bn
Hint: (BC-16) =
=
-
bn → 4, Cn2, an → 26.
4, Cn → 4 :: An → 16.
(B − 4)(C − 4) + 4(C − 4) + 4(B − 4)
Transcribed Image Text:Assume an, bn and care sequences of real numbers. Prove each of the following deductions. (a) an 3bn, bn 4, an → 12. (b) lan 51 ≤ 2|bn 31, bn3, an→ 5. (c) an = 3bn +7cn, (d) an = bn Cn, bn Hint: (BC-16) = = - bn → 4, Cn2, an → 26. 4, Cn → 4 :: An → 16. (B − 4)(C − 4) + 4(C − 4) + 4(B − 4)
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