Answer: 150
Step-by-step explanation:
To solve arithmetic progression, the nth term is calculated using the formula = a + (n - 1)d
From the question,
First term = a = 4
12th term = 31.5
We need to get the common difference which will be:
Since 12th term = 31.5
a + (n - 1)d = 31.5
a + (12 - 1)d = 31.5
a + 11d = 31.5
Recall that a = 4
4 + 11d = 31.5.
11d = 31.5 - 4
11d = 27.5
d = 27.5 / 11
d = 2.5
Since last term is 376.5, the number of terms in it will be calculated as:
a + (n - 1)d = 376.5
4 + (n - 1)2.5 = 376.5
4 + 2.5n - 2.5 = 376.5
2.5n = 376.5 - 4 + 2.5
2.5n = 375
n = 375 / 2.5
n = 150
The number of terms in the series is 150.
Answer:
16
Step-by-step explanation:
4x2=8
8x2=16
The largest consecutive integers whose sum is less than 46 are x= 21 and x+1=22
Step-by-step explanation:
Let the integers be:
x and x+1
The sum of these integers is less than 46

Solving and finding value of x:

So, the integers will be less than 22.5
The largest numbers are: 21 and 22
So, the largest consecutive integers whose sum is less than 46 are x= 21 and x+1=22
Keywords: Finding integers
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Answer:
1 is a factor of 8
Step-by-step explanation:
1*8