<u>Number of terms = 48</u>
<u>common difference = 1.5</u>
This question involves the concept of Arithmetic Progression.
- The formula for sum of an arithmetic progression series with first and last term given is;
= 
(a + l)
where;
a = first term
l = last term
n = number of terms
- From the given sequence, we see that;
first term; a = 4
last term; l = 76
Sum of A.P; = 1920
- Plugging in relevant values into the sum of an AP formula, we have;
1920 = (4 + 76)
simplifying this gives;
1920 = 40n
n = 1920/40
n = 48
- Formula for nth term of an AP is;
= 
+ (n - 1)d
where;
is first term
d is common difference
n is number of term
is the nth term in question
the 48th term is 76
Thus;
76 = 4 + (48 - 1)d
76 - 4 = 47d
72 = 47d
d = 72/47
d ≈ 1.5
Thus;
Number of terms = 48
common difference = 1.5
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Answer:
the same
Step-by-step explanation:
because the binomial and trinomial is the same
Answer:
4 minutes and 10 seconds.
Step-by-step explanation:
Time = Distance / Speed (or rate)
Time = 17.5 feet / 0.07 feet per second
Hence, time = 250 seconds.
250 seconds = 4 minutes 10 seconds.
Answer:
12 discs
Step-by-step explanation:
Sheet metal has dimensions of 56 cm by 33 cm. This indicates that it is a rectangle.
A_rectangle = length × width
A_rect = 56 × 33
A_rect = 1848 cm²
It is now melt down and recast into disc's of 7 cm radius and similar thickness.
Thus;
Area of one disc = πr² = π × 7² = 49π
Thus,number of disc's cast = 1848/49π
number of disc's cast = 12
There are three different type
Explain
In math , there are three different type , they are arithmetic progression ( Ap) , Geometric progression and Harmonic
Arithmetic Progression - When a fix constant is added to each number except the first number.
For example : 2,4,6,8,10..... Here 2 is added each time to get the next number.
2. Geometric Progression - When a fix constant is multiplied to each number except the first number.
For example : 2,6,18,54.... Here 3 is multiplies each time to get first number.
3. Harmonic - a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmetic progression.
For example : 1/2 , 1/4 , 1/6, 1/8 ....
