The sum of the arithmetic progression 4, ..., 76 is 1920. Find the number of terms and the common difference.
1 answer:
<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
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Answer:
Step-by-step explanation:
<u>The difference in balances is:</u>
- 5000*(1 + 0.04)^3 - 5000*(1 + 0.04*3) =
- 5624.32 - 5600 =
- 24.32
answer simple
i thinks its b
The correct answer is B.
Good luck!!!
Step-by-step explanation:
● what is the final grade
percentage?
=>94%
Let the total seed packets needed Anthony to have 90 plants be x.
then,
64:32 :: 90:x
2:1 :: 90:x
90 = 2x
x = 45 seed packets.
________________________
64 plants = 32 seed packets.
1 plant =

seed packets.
90 plants =

seed packets.
Anthony need 45 seed packets to have 90 plants.
!! Hope It Helps !!