Question 22.3

22 wrath containi Write a function named High length containing numeric values. Hi elements as x, but increases the elements A Highfive with a single argument x, which is a vector of the values. Highfive should return a vector of the same length and the elements in the fifth, tenth, fifteenth, ..., positions by five. often denoted by Ch, can be defined in the following three fashions 223 The Catalan number, often den Cn - 1 n+1 2n n (2n)! (n+1)!n! where n is a nonnegative integer. Note that zero factorial is defined to be one and the iterated product in the rightmost expression is one for n = 0 and n=1. Assuming that is a nonnegative integer, write three single R commands that calculate C, by these three formulas. Write a function named add.commas with a single argument x that holds a single nu meric value that is a positive integer between 1 and 999,999.999, which prints the inte ger with commas inserted to separate the digits when appropriate for a more handsome uisplay. Test your add. commas function with the R commands add. commas 1234) and comunas (1234567), which should display 1, 234 and 1,234,567, respectively