Determine first the common difference (d) of the arithmetic sequence using the given terms,
d = (a17 - a6) / (17 - 6)
d = (113 - 36) / 11 = 7
Using the 17th term, 113, we get the value of a23 by,
a23 = a17 + (23 - 17) x 7
a23 = 113 + 42 = 155
Thus, the 23rd term is 155.
Answer:
2x - 5 = (1/2)
4x - 10 [multiply by 2]
x - 10 = -13 [subtract 3x from both sides]
x = -3 [add 10 to both sides]
Step-by-step explanation:
Answer: The answer is (C) 3 4 × 1 6 = 3 24
Step-by-step explanation: We are given a rectangular picture made of square boxes and we are to find among the given options which is modelled by the given picture.
In the diagram, there are 6 boxes lengthwise and 4 boxes breadthwise. Also, 3 × 4 boxes are painted yellow and 1 × 6 boxes are painted blue. The common boxes will be 3.
Therefore, the correct choice is 3 4 × 1 6 = 3 24
Hence, (C) is the correct option.
Answer:
JH
Step-by-step explanation:
Answer:
n = 95/14, or 6 11/14
Step-by-step explanation:
Let the number be n. Then:
n - 1 2/7 = 5 1/2.
Multiplying each term by the LCD (which is 14), we get:
14n - 18 = 77
Then 14n = 95
and so the desired result is n = 95/14, or 6 11/14