Find the sum, of the sequence.
-Find the sum of the odd integers between 36 and 78.
A) 1311
B) 1197
C) 1254
D) 1140

Question

Find the sum,  of the sequence.
-Find the sum of the odd integers between 36 and 78.
A) 1311 
B) 1197 
C) 1254 
D) 1140

Quizplus · Accepted Answer

The first question is not clear and seems to contain letters and numbers in a random order.

For the second question, we need to find the sum of all odd integers between 36 and 78. We can do this by first finding the smallest and largest odd integers in this range, which are 37 and 77 respectively.

To find the sum of all odd integers between 37 and 77, we can use the formula for the sum of an arithmetic sequence:

S = (n/2)(first term + last term)

where S is the sum of the sequence, n is the number of terms, and the first and last terms are given.

The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence:

an = a1 + (n-1)d

where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Since we want to find all odd integers between 37 and 77, we can set a1 = 37, d = 2 (since we're adding 2 to get from one odd integer to the next), and we need to solve for n such that an = 77:

77 = 37 + (n-1)2

40 = 2n - 2

n = 21

Therefore, there are 21 odd integers between 37 and 77, and their sum is:

S = (21/2)(37 + 77) = 21(57) = 1197

Therefore, the answer is B.

Find the Sum, of the Sequence