Find d of an arithmetic sequence if a(subscript 4)=14 and a (subscript 11)=35
I assume d is the difference between successive terms, since you have said this is an 'arithmetic' sequence. Increasing the subscript by 5 increases the value of the term by 35. That is an increase of 5 per term.
To find the common difference (d) of an arithmetic sequence, you can use the formula:
d = (a[subscript n] - a[subscript m]) / (n - m)
where a[subscript n] represents the nth term of the sequence, a[subscript m] represents the mth term of the sequence, and n and m are the positions of those terms in the sequence.
In this case, we have a[subscript 4] = 14 and a[subscript 11] = 35. Let's calculate the common difference (d) using the formula:
d = (35 - 14) / (11 - 4)
= 21 / 7
= 3
Therefore, the common difference (d) of this arithmetic sequence is 3.