TI 84 Plus CE: Nested Square Root Sums

TI 84 Plus CE:  Nested Square Root Sums

Introduction

The program NESTSQM calculates the sequence:

√(a + b)
√(a + b * √(a + b))
√(a + b * √(a + b * √(a + b))
√(a + b * √(a + b * √(a + b * √(a + b)))
...
√(a + b * √(a + b * ... * √(a + b)))

In other words, start with c = 1.
Then let c = √(a + b * c)
Repeat. 

The calculation is shown in steps of 5, for a total of 25 steps. 

TI-84 Plus CE Program: NESTSQSM

"2020-01-05 EWS"
Disp "√(A+B√(A+B√(A+B...","25 ITERATIONS","TI-84+ CE"
Prompt A,B
1→C
For(K,1,25)
√(A+B*C)→C
Disp C
If fPart(K/5)=0
Then
Disp " "
Disp toString(K-4)+" TO "+toString(K)
Pause 
ClrHome
End
End

Examples

Example 1:  a = 2, b = 3

2.236067977
2.95096661
3.294373966
3.447190436
3.513057259

3.541069299
3.552915408
3.557913184
3.5600196
3.560907019

3.561280817
3.561438256
3.561504565
3.561532493
3.561544255

3.561549208
3.561551295
3.561552173
3.561552544
3.561552699

3.561552765
3.561552793
3.561552804
3.561552809
3.561552811

Example 2:  a = 7, b = 4

3.31662479
4.501832867
5.000733093
5.196434583
5.271217917

5.299516173
5.310184996
5.314201726
5.315713207
5.316281861

5.316495786
5.316576262
5.316606535
5.316617923
5.316622207

5.316623819
5.316624425
5.316624653
5.316624739
5.316624771

5.316624783
5.316624788
5.316624789
5.31662479
5.31662479

Eddie

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