Math  /  Algebra

Question4. If the sum is 220 and the first term is 10 , find the common difference if the last term is 30. A. 2 B. 5 C. 3 D. 2/32 / 3

Studdy Solution
Now, use the formula for the n n -th term of an arithmetic sequence to find the common difference d d :
The n n -th term formula is:
l=a+(n1)d l = a + (n-1)d
Substitute the known values:
30=10+(111)d 30 = 10 + (11-1)d
Simplify and solve for d d :
30=10+10d 30 = 10 + 10d 3010=10d 30 - 10 = 10d 20=10d 20 = 10d d=2010 d = \frac{20}{10} d=2 d = 2
The common difference is:
2 \boxed{2}

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