Answer:
The sum of 12 terms of AP = -318
Step-by-step explanation:
Points to remember
Sum of n terms of an AP
Sₙ = n/2[ 2a + (n - 1)d]
Where n - number of terms
a - first term
d - common difference
<u>To find the sum of 12 terms</u>
The given AP is 1, -4, -9, -14, . . .
a = 1, d= -5 and n = 12
Sₙ = n/2[ 2a + (n - 1)d]
= 12/2[2*1 + (12 - 1)*(-5)]
= 6[2 + (11*(-5))]
= 6[2 - 55]
= 6 * (-53)
= -318
The sum of 12 terms of AP = -318
I believe the answer is B , One yard equals three feet .
Answer:
John gets 24 dollars
Step-by-step explanation:
Divide 40 into 5 because 2+3 equals 5.
Each "section" equals 8. Now, multiply that by 3(John's section)
You get 24.
You haven't told us whether 9 and 12 are the two legs of the triangle, or whether the 12yd is the longest side.
<u>If the 9 and the 12 are the two legs, then</u>:
C² = A² + B²
C² = 81 + 144
C² = 225
C = <u>15 yd</u>
<u>If the 12 is the longest side, then</u>:
(12)² = (9)² + B²
B² = (12)² - (9)² = 144 - 81 = 63
B = √63 = <u>7.937</u>yd (rounded)
So hmmm 7, 0, -7.... what the dickens is going on? hmmm is really dropping each time by 7, so, 7-7, 0, and 0-7, -7 and so on.
so, the "common difference" is then -7, and our first term is 7, now, who's -175? let's check.
