Find the next term of the given sequence. 1.31, 2.54, 3.77, ... 4.90 5.00 5.10
Answers
Answer:
Option B is correct.
the next term of the sequence is 5.00
Explanation:
Arithmetic progression(A.P) is a sequence of numbers in which the consecutive terms are formed by adding a constant quantity with the preceding term.
Common difference(d) is the constant quantity stated in the above definition of arithmetic progression. it is given by;
for all n∈N
Given sequence:- 1.31, 2.54 , 3.77 , ___ ;
we have;
,
and
First find the common difference;
=
or
d =
Therefore, by the definition of arithmetic progression,
the given sequence is Arithmetic progression
Now, to find the fourth term of the sequence, add constant quantity (d) to the third term;
Therefore, in the given sequence next term will be 5.00.
It is A.P. with common difference = 2.54-1.31 = 1.23
So, next term would be 3.77+1.23 = 5.00
OPTION B IS YOUR ANSWER
Related Questions
Which correctly describes how the graph of the inequality 5x + 2y ≥ 13 is shaded? (1 point) Above the solid line Below the solid line Above the dashed line Below the dashed line
Find the measure of angle one…. PLEASE HELP!!!!!!
HELP! The Last option is none of the above
The double number line shows that Faye can sort 150150150 recyclable items in 333 minutes. Based on the ratio shown in the double number line, how many recyclable items can Faye sort in 444 minutes?
16Pi units squared
20Pi units squared
Answers
Answer:
" units squared"
Step-by-step explanation:
The image of the circle is attached.
The shaded area of the circle is basically HALF of the whole circle. If we can get the area of the circle, we will halve it, to get our answer for area of shaded region.
Area of circle is given as:
Where
A is area
r is the radius
Looking at the pic, the radius is "4", so we substitute and find area of circle:
THe shaded area is HALF of that, so:
Area of Shaded = sq. units.
Answer is " units squared"
Answer:
its 8
Step-by-step explanation:
i got it right
Answers
7-(-13)
7+13
20
Answers
Answer: 0.44mm
Step-by-step explanation:
In this problem we are asked for the height of a single playing chip. We know the volume of a cylinder is 25120 mm^3.
V=πr²h
25120=πr²h
The problem also gives the diameter of the case: 40mm.
To find radius, you divide the diameter in half.
d=2r
40=2r
r=20
With the radius, we can add that to the volume equation.
25120=(20)^2h
25120=400πh
All we have left is to find the height.
h=25120/(400π)
h≈20mm
Now that we know the height, we can find the height of a single chip. The problem states about 50 chips can fit in a case. To find the height of a single chip, you would divide 20 by 50.
20mm/50 chips=0.4mm/chip.
Answers
Answer:
100 tickets were sold.
Step-by-step explanation:
If she bought 20 tickets and had a 20 percent chance of winning that means there were 100 sold tickets because 20 percent of 100 would be the 20 tickets she purchased.
Answer:
100
Step-by-step explanation:
i got it right on edu
Answers
Given : Karen and Daryl work for a delivery service.Karen made 15 more deliveries than Daryl. Let d be the deliveries made by Daryl .We need to find the expression that represents the number of deliveries Karen made
Karen made 15 more deliveries than Daryl. The mathematical symbol for more than is addition or + sign .
15 more than d can be represented by 15+d.
Option B. 15 + d is the right answer.
3,659 in ^3
11,488 in ^3
2,964 in ^3
944 in ^3
Answers
a) A balloon has a circumference of 28 in. Use the circumference to approximate the volume of the balloon to the nearest cubic inch.
or
b) A balloon has a circumference of 28 in. Use the circumference to approximate the surface area of the balloon to the nearest square inch.
case a)
we know that
circumference=2*pi*r
clear variable r
r=circumference/(2*pi)
circumference=28 in
r=28/(2*pi)----> r=4.46 in
volume of a balloon=(4/3)*pi*r³-----> (4/3)*pi*4.46³----> 371.61 in³
Volume=372 in³
the answer is
372 in³
case b)
we know that
circumference=2*pi*r
clear variable r
r=circumference/(2*pi)
circumference=28 in
r=28/(2*pi)----> r=4.46 in
surface area of a balloon=4*pi*r²-----> 4*pi*4.46²---> 249.83 in²
Surface area=249.83 in²-------> 250 in²
the answer is
250 in²