The 7th term of an arithmetic sequence is 19 and its 11th term is 31.What is the algebraic expression for this sequence.
Answers
Answered by
2
Step-by-step explanation:
a7 = 19
a11=31
a+6d=19
a+10d=31
4d= 12
d=3
a+6d=19
a=19-24
a= -5
an= -5+(n-1)4
=-5+4n-4
=4n-9
Answered by
1
Answer:
an = 1 + 3(n-1) = 3n - 2
Step-by-step explanation:
a7 = a + 6d = 19
a11 = a + 10d = 31
subtracting, 4d = 12, d = 3
substituting, 19 = a + 18, a = 1
equation, an = 1 + 3(n-1) = 3n - 2
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