Consider the sequence 2, 7, 12, 17, 22, 27, ..., 5n - 3. How many terms are there in the sequence?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(a) Consider the sequence 2, 7, 12, 17, 22, 27, ..., 5n – 3. How many terms are there
in the sequence?
· + (5n − 3).
+2. (−3)”.
(b) Find a closed formula for 2 + 7 + 12 + 17 + 22 +27 +
(c) Find a closed formula for Sn = 2 − 6 + 18 - 54 + ·
Transcribed Image Text:(a) Consider the sequence 2, 7, 12, 17, 22, 27, ..., 5n – 3. How many terms are there in the sequence? · + (5n − 3). +2. (−3)”. (b) Find a closed formula for 2 + 7 + 12 + 17 + 22 +27 + (c) Find a closed formula for Sn = 2 − 6 + 18 - 54 + ·
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The nth termtn of an arithmetic progression (A.P.) is determined using the formula: tn=a+n-1d, where a is the first term and d is the common difference.

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