in the sequence 2,7,12,17,...what term is 122?
Home
/
in the sequence 2,7,12,17,...what term is 122?
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
n=25
Step-by-step explanation:
An=122
A₁=2
d=5
Substitute the given terms in the formula
An=A₁+(n-1)d.
An=A₁+(n-1)d
122=2+(n-1)5
122=2+(5n-5)
122=-3+5n
transpose -3 on the left side.
122+3=5n
125=5n
Divide both side by 5 so we'll be left by "n" which is the value we're looking for.
125÷5=5n÷5
We'll cancel out 5 and divide 125 by 5 which will give us 25.
25=n
TO CHECK YOUR ANSWER, WE CAN SUBSTITUTE 25 TO "n".
An=A₁+(n-1)d
A₂₅=2+ (25-1)5
A₂₅= 2 + (125-5)
A₂₅= 2 +120
A₂₅= 122.