<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
Read more at; brainly.com/question/16935540
Answer:
Step-by-step explanation:
17:3 is already in lowest terms. 17:3 = 34:6, 51:9, etc.
15:60 = 1:4
No because irrational cant be a simple fraction and 9/15
is 0.6
so... it is not irrational
Any point in that shaded area is a solution
(0,0) is a solution
(-1,-1) is a solution
(-3,3) is a solution
etc
#b. The equation y = 50x + 200 represents the total cost that the contractor will charge for x hours of work.
#c. (1, 250); (2, 300); (3, 350)