The geometric rule for the nth term of the geometric sequence for which a1 =−6 and a5=−486 is -6 × 3^(n - 1)
<h3>The nth term of a geometric sequence</h3>
First term, a1 = -6
Fifth term, a5 = -486
a5 = ar^(n - 1)
-486 = -6 × r^(5-1)
-486 = -6r⁴
r⁴ = -486 / 6
r⁴ = 81
r = 4√81
r = 3
Geometric rule:
nth term = ar^(n-1)
nth term = -6 × 3^(n - 1)
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Answer:
<h2>2.5 hours</h2>
Step-by-step explanation:
Step one:
given data
for train one
speed= 50miles per hour
for train two
speed= 60miles per hour
the total distance between both trains=275miles
Step two:
the expression for speed= distance/time
so that, distance= speed*time
let the time be t
we are going to combine both distances
train one distance =50t
train two distance =60t
Hence total distance
50t+60t=275
110t=1=275
t=275/110
t=2.5 hours
<u>It will take 2.5 hours</u>
Answer:
Step-by-step explanation:
Gemma had 25.75 grams of frosting
Used 15.5 grams
<u>Left over:</u>
- 25.75 - 15.5 = 10.2 grams
