David is writing an explicit function for the arithmetic sequence:10,13,16,19,…He comes up with s(n)=7+3n. What domain should David use for s so it generates the sequence?Choose 1 answer:(A) n≥0 where n is an integer(B) n≥0 where n is any number(C) n≥1 where n is an integer(D) n≥1 where n is any number
Q. David is writing an explicit function for the arithmetic sequence:10,13,16,19,…He comes up with s(n)=7+3n. What domain should David use for s so it generates the sequence?Choose 1 answer:(A) n≥0 where n is an integer(B) n≥0 where n is any number(C) n≥1 where n is an integer(D) n≥1 where n is any number
Identify First Term: Identify the first term of the sequence using s(n)=7+3n. Calculate s(1):s(1)=7+3×1=10.
Check Match: Check if s(1) matches the first term of the sequence (10): Sequence starts at 10, and s(1)=10. This confirms that the sequence starts at n=1.
Determine Nature of n: Determine the nature of n (integer or any number) by checking subsequent terms:Calculate s(2)=7+3×2=13, which matches the second term of the sequence. This pattern continues with integer values of n.
Confirm Non-Integer Values: Confirm that non-integer values of n do not fit the sequence:Calculate s(1.5)=7+3×1.5=11.5, which does not appear in the sequence. Thus, n must be an integer.
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