Proof -
So, in the first part we'll verify by taking n = 1.
Therefore, it is true for the first part.
In the second part we will assume that,
and we will prove that,
<u>Henceforth, by </u><u>using </u><u>the </u><u>principle </u><u>of </u><u> mathematical induction 1²+2² +3²+....+n² = n(n+1)(2n+1)/ 6 for all positive integers n</u>.
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Answer:
20
Step-by-step explanation:
2, 5, 9, 14, ?, 27.
2,5 the number added is 3
5,9 the number added is 4
9,14 the number added is 5
14,20 the number added is 6
20 , 27 the number added is 7
Answer:
The statement is false
Step-by-step explanation:
Answer:
The measure of the unknown angle is 15°.
Step-by-step explanation:
Represent this angle by A. Then the complement of A is 90° - A.
"Angle whose complement is five times its measure" would be expressed as
90° - A = 5A
Solve this for A by adding A to both sides:
90° = 6A. Then A = 90°/6, or 15°
