Answer:
25
Step-by-step explanation:
The formula for the Pythagorean Theorem is:
Now,
A=7
B=24
7x7=49
24x24=576
Add,
576+49=625
Last,
Take the square root of 625
The square root of 625 is 25
c=25
To Check if the hypotenuse is correct:
7x7=49
24x24=576
25x25=625
49+576=625
625=625,
Therefore the hypotenuse is 25.
The sum of the 8 terms of the series 1-1-3-5- ... -13 is -48
The given sequence is:
1,-1,-3, . . -13
and there are 8 terms.
The related series of this sequence is:
1-1-3-5- ... -13
Notice that the series is an arithmetic series with:
first term, a(1) = 1
common difference, d = -1 - (1) = -2
last term, a(8) = -13
To find the sum of the series, use the sum formula:
S(n) = n/2 [(a(1) + a(n)]
Substitute n = 8, a(1) = 1, a(n) = a(8) = -13 into the formula:
S(8) = 8/2 [1 + (-13)]
S(9) = 4 . (-12) = -48
Learn more about sum of a series here:
brainly.com/question/14203928
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It’s really hard to see the picture
We have an arithmetic sequence with
<span>a0 = 1st 3-digit number divisible by 13 </span>
<span>a0 = 104 </span>
<span>d = 13 (why?) </span>
<span>last term is largest divisible by 13 = 988 </span>
<span>how many terms? (988-104)/13 + 1 = 69 </span>
<span>S = 69/2(104+988) = 37674</span>
