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:
16
Step-by-step explanation:
To find the average, add up all the number and divide by the number of terms
(11+ 13+ 18 + 22)/4
64/4
16
It’s 1, looks like you got it lol
Answer:A
Step-by-step explanation: The first few square numbers are:
1
,
4
,
9
,
16
,
25
,
36
,
49
,
√
1
=
1
√
4
=
2
√
9
=
3
√
16
=
4
√
25
=
5
√
36
=
6
w
w
w
w
w
w
←
√
40
lies here
√
49
=
7
Therefore
√
40
is between
6
and
7
Answer:
∠A=65º
Step-by-step explanation:
- A angle of a line is 180º, so we can say that angle ABC=(180-6x)º
- The interior angkes of a triangle is 180º, so (x+40)º+(3x+10)º+(180-6x)º=180º
- Remove parenthesis, x+40+3x+10+180-6x=180
- Combine like terms, -2x+230=180
- Subtract 180, -2x=-50
- Divide by -2, so x=25
Now:
- ∠CAB=(25+40)º=65º
- ∠ABC=[180-6(25)]º=30º
- ∠BCA=[3(25)+10]=85º