Select the following equations that are true. 3 (1+2+3+ + n)² = 1³ + 2³ +3³ +... ... Σ₁1 (2j-1) = n² j=1 1 + 1/2 + + + n 3+9+27 + .. 01+2+4+8+ +32 ... = = n(1+/-) 2 3x3n+1-3 3-1 +263 2641 = 3 +n³

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Select the following equations that are true.
3
(1+2+3+ + n)² = 1³ + 2³ +3³ +...
Σ²-₁ (²j − 1) = n²
j=1
1 + 1/2 + +
...
3+9+27+
..
.
01+2+4+8+
+
n
+32
...
=
=
n(1+1)
2
3x3+¹ 3
3-1
+263
=
264 - 1
3
+n³
Transcribed Image Text:Select the following equations that are true. 3 (1+2+3+ + n)² = 1³ + 2³ +3³ +... Σ²-₁ (²j − 1) = n² j=1 1 + 1/2 + + ... 3+9+27+ .. . 01+2+4+8+ + n +32 ... = = n(1+1) 2 3x3+¹ 3 3-1 +263 = 264 - 1 3 +n³
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