GROWTH DEVELOPMENT CHILD
SUMMATIVE ASSESSMENT
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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“An AP has a first term of 8 and a common difference of 3".Which recursive formula is correct?
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Tn+1 = Tn + 3, T1 = 8
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Tn+1 = 3Tn, T1 = 8
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Tn+1 = Tn-3, T1 = 8
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Tn+1 = Tn + 3, T1 = 1
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Explanation:
Detailed explanation-1: -A recursive sequence is a sequence in which terms are defined using one or more previous terms which are given. If you know the nth term of an arithmetic sequence and you know the common difference, d, you can find the (n+1)th term using the recursive formula an+1=an+d .
Detailed explanation-2: -Thus, the number of terms is n = 6 and the common difference of the A.P. is d = 5.
Detailed explanation-3: -an=2an−1+3 is a recursive formula because each term, an, refers back to the previous term, an−1. This equation is telling us that whatever term we want to find is equal to 2 times the previous term, plus 3. The first three terms of this sequence are: 4, 11, 25.
There is 1 question to complete.