common difference of 1/8 1/4 3/8 1/2
Answers
Answer:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding 1818 to the previous term in the sequence gives the next term. In other words, an=a1+d(n−1)an=a1+d(n-1).
Arithmetic Sequence: d=18d=18
This is the formula of an arithmetic sequence.
an=a1+d(n−1)an=a1+d(n-1)
Substitute in the values of a1=14a1=14 and d=18d=18.
an=14+(18)(n−1)an=14+(18)(n-1)
Simplify each term.
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an=14+n8−18an=14+n8-18
To write 1414 as a fraction with a common denominator, multiply by 2222.
an=n8+14⋅22−18an=n8+14⋅22-18
Write each expression with a common denominator of 88, by multiplying each by an appropriate factor of 11.
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an=n8+28−18an=n8+28-18
Combine the numerators over the common denominator.
an=n8+2−18an=n8+2-18
Subtract 11 from 22.
Step-by-step explanation:
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Given : 1/8 1/4 3/8 1/2
To Find : common difference
Solution:
An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is a constant called the common difference.
Common difference is the difference between each pair of consecutive terms in an arithmetic sequence.
1/8 , 1/4 , 3/8, 1/2
1/4 - 1/8
= ( 2 - 1)/8
= 1/8
3/8 - 1/4
= ( 3 - 2)/8
= 1/8
1/2 - 3/8
= (4 - 3)/8
= 1/8
difference between each pair of consecutive terms is 1/8
Hence this is an AP
and Common difference is 1/8
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