Final answer:
To find the fourth term of the sequence aᵢ=i(i+7), substitute '4' for 'i' in the formula, resulting in a₄=4(4+7)=44.
Step-by-step explanation:
The student has given the formula for the nth term of a sequence, defined as aᵢ=i(i+7), and is asked to compute the fourth term of this sequence, a₄. To find a₄, we substitute ‘4’ in place of ‘i’ in the given formula. This gives us:
a₄=4(4+7)=4×11=44
Therefore, the fourth term, a₄, of the sequence is 44.The sequence ai = i(i+7) can be simplified by substituting the value of i into the equation. For example, to find a4, we can substitute i = 4 into the equation:
a4 = 4(4+7) = 4*11 = 44.