Which explicit rule represents the sequence defined recursiv…

Questions

Which explicit rule represents the sequence defined recursively by (а_1 = 9) (а_n = а_{n-1} + 7)?

Which hоrizоntаl shift is present in the grаph оf ( f(x) = 5cscleft(x - frаc{pi}{4}right) )? The x-axis spans from below negative pi to above pi, with an interval of pi by two and grid line increment of pi by 10. The y-axis spans from below zero to 6, with an interval of 2 and grid increment of 0.5. The graph shows the transformed cosecant function. Key features include its characteristic U-shaped alternating peaks and troughs between the asymptotes, appearing below and above the x-axis respectively. However, Unlike the standard csc(x), the pattern repeats much more frequently, and the asymptotes are shifted to the right. The peaks start from negative infinity and reach the horizontal line y = 2.5, whereas the troughs start at positive infinity and drop to the line y = 3.5.