The first two terms of a sequence are a1 =4 and a2= -2. Let a3 be the third term when the sequence is arithmetic and let b3 be t
he third term when the sequence is geometric. Find a3+b3
1 answer:
Answer:
a3 + b3 = -7
Step-by-step explanation:
When the sequence is A.P
a1 =4 and a2= -2
Common difference,d = a2 - a1
= -2 - 4
d = -6
a3 = third term
a3 = a1 + 2d
= 4 + 2(-6)
= 4 - 12
= -8
a3 = -8
When the sequence is geometric
a1 =4 and a2= -2
Common ratio, r = a2/a1
= -2/4
r = -1/2
Or
r = -0.5
b3 = third term
b3 = ar²
= 4 * (-1/2)²
= 4 * 1/4
= 4/4
= 1
b3 = 1
a3 + b3 = -8 + 1
= -7
a3 + b3 = -7
You might be interested in
8,16,24,32,40
All you have to do is replace the n in 8n with the sequance number you're looking for
like for instance:
8(1)=8
8(2)=16
Answer:
8.73 mph
Step-by-step explanation:
False because you must know all of its components in order to solve the equation
D=31.6 cm
r=31.6/2=15.8 cm
Area of circle= pi*r^2
A=pi*(15.8^2)
In terms of pi: A=249.6*pi cm^2
Using 3.14 as pi: A=783.9 cm^2