We read your photo as:
Find the common difference of an arithmetic progression if the first term is 1 and the sixth term is 11.
Mathematics
ScanSolve AI Answer
Answer
A
Step-by-step solution
3 stepsHere's how to find the common difference:
The formula for the n-th term of an arithmetic progression (AP) is:
aₙ = a₁ + (n - 1)d
where:
aₙ is the n-th term
a₁ is the first term
n is the term number
d is the common difference
Identify the given values.
We are given:
The sixth term (a₆) = 11
The first term (a₁) = 1
The term number (n) = 6Substitute the values into the formula.
a₆ = a₁ + (6 - 1)d
11 = 1 + (5)dSolve for the common difference (d).
11 = 1 + 5d
Subtract 1 from both sides:
11 - 1 = 5d
10 = 5d
Divide by 5:
d = 10 / 5
d = 2The common difference is 2.
Comparing this with the given options:
A. 2
B. 1/2
C. 1/4
D. 4The correct option is A.
The final answer is .
Was this helpful?
Try one yourself
A new problem that tests the same skill.
Still stuck on this one?
Ask a follow-up, and the answer starts from this question.
Got a different question?Ask your own question
More Mathematics Questions
QThe first term of an arithmetic progression is 2. Its second and sixth terms are consecutive terms…QAn arithmetic progression has its 12th term equal to 7 and its 15th term equal to 9. Find the first…QFor each arithmetic progression (AP), find the first term and common difference: i) 3, 1, −1, −3…QThe first term of an Arithmetic Progression is 20. If the fifth term is four-fifth of the third…QThe ninth term of an arithmetic progression is three times the third term. If the sum of the first 4…
Browse by topic:Pre-Calculus