Step-by-step explanation:
The simplest method is "brute force". Calculate each term and add them up.
∑ = 3(1) + 3(2) + 3(3) + 3(4) + 3(5)
∑ = 3 + 6 + 9 + 12 + 15
∑ = 45
∑ = (2×1)² + (2×2)² + (2×3)² + (2×4)²
∑ = 4 + 16 + 36 + 64
∑ = 120
∑ = (2×3−10) + (2×4−10) + (2×5−10) + (2×6−10)
∑ = -4 + -2 + 0 + 2
∑ = -4
4. 1 + 1/4 + 1/16 + 1/64 + 1/256
This is a geometric sequence where the first term is 1 and the common ratio is 1/4. The nth term is:
a = 1 (1/4)ⁿ⁻¹
So the series is:
5. -5 + -1 + 3 + 7 + 11
This is an arithmetic sequence where the first term is -5 and the common difference is 4. The nth term is:
a = -5 + 4(n−1)
a = -5 + 4n − 4
a = 4n − 9
So the series is:
Here, regrouping is basically carrying.
64+43 shown vertically would be:
64
+43
-------
107
4+3 is 7, so seven is in the ones place, but that's not the point.
60+40 is 100, so you regroup by carrying the one to the hundreds place.
Hope I helped!
124.8 miles. 104/50=2.08. 2.08x60=124.8.
A^2 + b^2 = c^2
5^2 + 7^2 = c^2
25 + 49 = c^2
74 = c^2
sqrt 74 = c
8.6 = c
so grant's to Isabelle's is 8.6 blocks, then from there to hannah's house, which is 7 blocks....so he walks a total of 8.6 + 7 = 15.6 blocks
Answer:
Prachi was 5 kilometers east of her home when she began driving farther east at 70 kilometers per hour.
Let f(n) be Prachi's distance from her home at the beginning of the nth hour of her drive.
f is an arithmetic sequence.
Write an explicit formula for the sequence.
f(n) = 70n + 5
Step-by-step explanation:
