In: Math
Write the first four terms of the sequence defined by the explicit formula an = 10n + 3.
Consider a sequence defined by the explicit formula,
an = 10n + 3
Substitute n = 1 in the formula an = 10n + 3 and compute first term of the sequence,
a1 = 101 + 3
= 10 + 3
= 13
Substitute n = 2 in formula an = 10n + 3 and compute second term of the sequence,
a2 = 102 + 3
= 100 + 3
= 103
Substitute n = 3 in formula an = 10n + 3 and compute third term of the sequence,
a3 = 103 + 3
= 1000 + 3
= 1003
Substitute n = 4 in formula an = 10n + 3 and compute fourth term of the sequence,
a4 = 104 + 3
= 10,000 + 3
= 10,003
Therefore, first four terms of the given sequence are {13, 103, 1003, 10,003}.
Therefore, first four terms of the given sequence are {13, 103, 1003, 10,003}.