Answer: common difference is 14
Step-by-step explanation:
a,a+d,a+4d
7,7+d,7+4d
(7+d)/7=(7+4d)/(7+d)
(7+d)(7+d)=7(7+4d)
49+14d+d^2=49+28d
d^2-14d=0
d(d-14)=0
d=0 or d-14=0
d=14
Answer: 21
Step-by-step explanation:
Given : Lindsay and Lorraine are trying to match the jump rope world record.
Number of jumps they need to jump together in a row = 48
Lindsay has gotten 14 jumps in a row, and Lorraine has gotten 13.
Total jumps = 14+13=27
Let 'j' be the number of more jumps they need to match the record.
j= Total jumps needed - Total jumps they already gotten
⇒ j= 48-27
⇒ j= 21
Hence, they need 21 more jumps to match the record.
Answer: n= 32
Jakes started with 32
Step-by-step explanation:
Let n represent the initial integer.
Step 1: take the reciprocal.
Reciprocal of n = 1/n
Step 2: double the number obtained in step 1
= 2×1/n = 2/n
Step 3: take the reciprocal of the number obtained in step 2.
Reciprocal of 2/n = n/2
Since he ended up with 16
n/2 = 16
n = 2×16 = 32
Answer:
11/5
Step-by-step explanation:
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