the sum of the first three term of an AP is -3 while the sum of the first five terms is 10. What is the value of the first term? What is the common difference?
An arithmetic sequence is a sequence that has the property that the difference between any two consecutive terms is a constant. This constant is called the common difference. If a1 is the first term of an arithmetic sequence and d is the common difference, the sequence will be: {an}={a1,a1+d,a1+2d,a1+3d,…}
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Answer:
An arithmetic sequence is a sequence that has the property that the difference between any two consecutive terms is a constant. This constant is called the common difference. If a1 is the first term of an arithmetic sequence and d is the common difference, the sequence will be: {an}={a1,a1+d,a1+2d,a1+3d,…}
Step-by-step explanation:
a =first term and d = common difference.
S3= (2a+2d)3/2=-3
(a+d)=-1
S5=(2a+4d)5/2=10
a+2d=2
d=3 a= -4