7. Due Friday, April 26, 2024 A sequence of natural numbers is determined by the following formula a,,,; = a,+p(a,), where p(a,,) is the product of digits in a,,. Are there any starting points that lead this sequence to be unbounded? The Sequence is defined by the formula anti = ant Plan). where plan) is the product of the digits of an . et's denote the number of digits in a natural number n as #n. so maximum value of pra) occurs when all digits of an are g # 9n- P 19, ) = 9 [# = number of digits in an so. Let's cinalying the sequence term an+ 1 # an anti = an + Plan )