SOLUTION: Find the second, fifth, and ninth terms of each sequence. {{{ A(n)=2+(n-1)(3)}}} may you show us this entire problem worked out so we may see how to do it, the book gives a very va

Algebra ->  Sequences-and-series -> SOLUTION: Find the second, fifth, and ninth terms of each sequence. {{{ A(n)=2+(n-1)(3)}}} may you show us this entire problem worked out so we may see how to do it, the book gives a very va      Log On


   



Question 1099372: Find the second, fifth, and ninth terms of each sequence. +A%28n%29=2%2B%28n-1%29%283%29 may you show us this entire problem worked out so we may see how to do it, the book gives a very vague example, TY!!
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Find the second, fifth, and ninth terms of each sequence. +A%28n%29=2%2B%28n-1%29%283%29 may you show us this entire problem worked out so we may see how to do it, the book gives a very vague example, TY!!
To find the second (2nd) term, substitute 2 in place of n
and simplify:

+A%28n%29=2%2B%28n-1%29%283%29
+A%282%29=2%2B%282-1%29%283%29
+A%282%29=2%2B%281%29%283%29
+A%282%29=2%2B3
+A%282%29=5

So the second term A(2) is 5

----------

To find the fifth (5th) term, substitute 5 in place of n
and simplify:

+A%28n%29=2%2B%28n-1%29%283%29
+A%285%29=2%2B%285-1%29%283%29
+A%285%29=2%2B%284%29%283%29
+A%285%29=2%2B12
+A%285%29=14

So the fifth term A(5) is 14

----------

To find the ninth (9th) term, substitute 9 in place of n
and simplify:

+A%28n%29=2%2B%28n-1%29%283%29
+A%289%29=2%2B%289-1%29%283%29
+A%289%29=2%2B%288%29%283%29
+A%289%29=2%2B24
+A%289%29=26

So the ninth term A(9) is 26

----------

For your information, here are the first 100 terms 
all worked out:

A%28n%29=2%2B%28n-1%29%283%29
A%281%29=2%2B%281-1%29%283%29+=++2%2B%280%29%283%29+=+2%2B0+=+2
A%282%29=2%2B%282-1%29%283%29+=++2%2B%281%29%283%29+=+2%2B3+=+5
A%283%29=2%2B%283-1%29%283%29+=++2%2B%282%29%283%29+=+2%2B6+=+8
A%284%29=2%2B%284-1%29%283%29+=++2%2B%283%29%283%29+=+2%2B9+=+11
A%285%29=2%2B%285-1%29%283%29+=++2%2B%284%29%283%29+=+2%2B12+=+14
A%286%29=2%2B%286-1%29%283%29+=++2%2B%285%29%283%29+=+2%2B15+=+17
A%287%29=2%2B%287-1%29%283%29+=++2%2B%286%29%283%29+=+2%2B18+=+20
A%288%29=2%2B%288-1%29%283%29+=++2%2B%287%29%283%29+=+2%2B21+=+23
A%289%29=2%2B%289-1%29%283%29+=++2%2B%288%29%283%29+=+2%2B24+=+26
A%2810%29=2%2B%2810-1%29%283%29+=++2%2B%289%29%283%29+=+2%2B27+=+29
A%2811%29=2%2B%2811-1%29%283%29+=++2%2B%2810%29%283%29+=+2%2B30+=+32
A%2812%29=2%2B%2812-1%29%283%29+=++2%2B%2811%29%283%29+=+2%2B33+=+35
A%2813%29=2%2B%2813-1%29%283%29+=++2%2B%2812%29%283%29+=+2%2B36+=+38
A%2814%29=2%2B%2814-1%29%283%29+=++2%2B%2813%29%283%29+=+2%2B39+=+41
A%2815%29=2%2B%2815-1%29%283%29+=++2%2B%2814%29%283%29+=+2%2B42+=+44
A%2816%29=2%2B%2816-1%29%283%29+=++2%2B%2815%29%283%29+=+2%2B45+=+47
A%2817%29=2%2B%2817-1%29%283%29+=++2%2B%2816%29%283%29+=+2%2B48+=+50
A%2818%29=2%2B%2818-1%29%283%29+=++2%2B%2817%29%283%29+=+2%2B51+=+53
A%2819%29=2%2B%2819-1%29%283%29+=++2%2B%2818%29%283%29+=+2%2B54+=+56
A%2820%29=2%2B%2820-1%29%283%29+=++2%2B%2819%29%283%29+=+2%2B57+=+59
A%2821%29=2%2B%2821-1%29%283%29+=++2%2B%2820%29%283%29+=+2%2B60+=+62
A%2822%29=2%2B%2822-1%29%283%29+=++2%2B%2821%29%283%29+=+2%2B63+=+65
A%2823%29=2%2B%2823-1%29%283%29+=++2%2B%2822%29%283%29+=+2%2B66+=+68
A%2824%29=2%2B%2824-1%29%283%29+=++2%2B%2823%29%283%29+=+2%2B69+=+71
A%2825%29=2%2B%2825-1%29%283%29+=++2%2B%2824%29%283%29+=+2%2B72+=+74
A%2826%29=2%2B%2826-1%29%283%29+=++2%2B%2825%29%283%29+=+2%2B75+=+77
A%2827%29=2%2B%2827-1%29%283%29+=++2%2B%2826%29%283%29+=+2%2B78+=+80
A%2828%29=2%2B%2828-1%29%283%29+=++2%2B%2827%29%283%29+=+2%2B81+=+83
A%2829%29=2%2B%2829-1%29%283%29+=++2%2B%2828%29%283%29+=+2%2B84+=+86
A%2830%29=2%2B%2830-1%29%283%29+=++2%2B%2829%29%283%29+=+2%2B87+=+89
A%2831%29=2%2B%2831-1%29%283%29+=++2%2B%2830%29%283%29+=+2%2B90+=+92
A%2832%29=2%2B%2832-1%29%283%29+=++2%2B%2831%29%283%29+=+2%2B93+=+95
A%2833%29=2%2B%2833-1%29%283%29+=++2%2B%2832%29%283%29+=+2%2B96+=+98
A%2834%29=2%2B%2834-1%29%283%29+=++2%2B%2833%29%283%29+=+2%2B99+=+101
A%2835%29=2%2B%2835-1%29%283%29+=++2%2B%2834%29%283%29+=+2%2B102+=+104
A%2836%29=2%2B%2836-1%29%283%29+=++2%2B%2835%29%283%29+=+2%2B105+=+107
A%2837%29=2%2B%2837-1%29%283%29+=++2%2B%2836%29%283%29+=+2%2B108+=+110
A%2838%29=2%2B%2838-1%29%283%29+=++2%2B%2837%29%283%29+=+2%2B111+=+113
A%2839%29=2%2B%2839-1%29%283%29+=++2%2B%2838%29%283%29+=+2%2B114+=+116
A%2840%29=2%2B%2840-1%29%283%29+=++2%2B%2839%29%283%29+=+2%2B117+=+119
A%2841%29=2%2B%2841-1%29%283%29+=++2%2B%2840%29%283%29+=+2%2B120+=+122
A%2842%29=2%2B%2842-1%29%283%29+=++2%2B%2841%29%283%29+=+2%2B123+=+125
A%2843%29=2%2B%2843-1%29%283%29+=++2%2B%2842%29%283%29+=+2%2B126+=+128
A%2844%29=2%2B%2844-1%29%283%29+=++2%2B%2843%29%283%29+=+2%2B129+=+131
A%2845%29=2%2B%2845-1%29%283%29+=++2%2B%2844%29%283%29+=+2%2B132+=+134
A%2846%29=2%2B%2846-1%29%283%29+=++2%2B%2845%29%283%29+=+2%2B135+=+137
A%2847%29=2%2B%2847-1%29%283%29+=++2%2B%2846%29%283%29+=+2%2B138+=+140
A%2848%29=2%2B%2848-1%29%283%29+=++2%2B%2847%29%283%29+=+2%2B141+=+143
A%2849%29=2%2B%2849-1%29%283%29+=++2%2B%2848%29%283%29+=+2%2B144+=+146
A%2850%29=2%2B%2850-1%29%283%29+=++2%2B%2849%29%283%29+=+2%2B147+=+149
A%2851%29=2%2B%2851-1%29%283%29+=++2%2B%2850%29%283%29+=+2%2B150+=+152
A%2852%29=2%2B%2852-1%29%283%29+=++2%2B%2851%29%283%29+=+2%2B153+=+155
A%2853%29=2%2B%2853-1%29%283%29+=++2%2B%2852%29%283%29+=+2%2B156+=+158
A%2854%29=2%2B%2854-1%29%283%29+=++2%2B%2853%29%283%29+=+2%2B159+=+161
A%2855%29=2%2B%2855-1%29%283%29+=++2%2B%2854%29%283%29+=+2%2B162+=+164
A%2856%29=2%2B%2856-1%29%283%29+=++2%2B%2855%29%283%29+=+2%2B165+=+167
A%2857%29=2%2B%2857-1%29%283%29+=++2%2B%2856%29%283%29+=+2%2B168+=+170
A%2858%29=2%2B%2858-1%29%283%29+=++2%2B%2857%29%283%29+=+2%2B171+=+173
A%2859%29=2%2B%2859-1%29%283%29+=++2%2B%2858%29%283%29+=+2%2B174+=+176
A%2860%29=2%2B%2860-1%29%283%29+=++2%2B%2859%29%283%29+=+2%2B177+=+179
A%2861%29=2%2B%2861-1%29%283%29+=++2%2B%2860%29%283%29+=+2%2B180+=+182
A%2862%29=2%2B%2862-1%29%283%29+=++2%2B%2861%29%283%29+=+2%2B183+=+185
A%2863%29=2%2B%2863-1%29%283%29+=++2%2B%2862%29%283%29+=+2%2B186+=+188
A%2864%29=2%2B%2864-1%29%283%29+=++2%2B%2863%29%283%29+=+2%2B189+=+191
A%2865%29=2%2B%2865-1%29%283%29+=++2%2B%2864%29%283%29+=+2%2B192+=+194
A%2866%29=2%2B%2866-1%29%283%29+=++2%2B%2865%29%283%29+=+2%2B195+=+197
A%2867%29=2%2B%2867-1%29%283%29+=++2%2B%2866%29%283%29+=+2%2B198+=+200
A%2868%29=2%2B%2868-1%29%283%29+=++2%2B%2867%29%283%29+=+2%2B201+=+203
A%2869%29=2%2B%2869-1%29%283%29+=++2%2B%2868%29%283%29+=+2%2B204+=+206
A%2870%29=2%2B%2870-1%29%283%29+=++2%2B%2869%29%283%29+=+2%2B207+=+209
A%2871%29=2%2B%2871-1%29%283%29+=++2%2B%2870%29%283%29+=+2%2B210+=+212
A%2872%29=2%2B%2872-1%29%283%29+=++2%2B%2871%29%283%29+=+2%2B213+=+215
A%2873%29=2%2B%2873-1%29%283%29+=++2%2B%2872%29%283%29+=+2%2B216+=+218
A%2874%29=2%2B%2874-1%29%283%29+=++2%2B%2873%29%283%29+=+2%2B219+=+221
A%2875%29=2%2B%2875-1%29%283%29+=++2%2B%2874%29%283%29+=+2%2B222+=+224
A%2876%29=2%2B%2876-1%29%283%29+=++2%2B%2875%29%283%29+=+2%2B225+=+227
A%2877%29=2%2B%2877-1%29%283%29+=++2%2B%2876%29%283%29+=+2%2B228+=+230
A%2878%29=2%2B%2878-1%29%283%29+=++2%2B%2877%29%283%29+=+2%2B231+=+233
A%2879%29=2%2B%2879-1%29%283%29+=++2%2B%2878%29%283%29+=+2%2B234+=+236
A%2880%29=2%2B%2880-1%29%283%29+=++2%2B%2879%29%283%29+=+2%2B237+=+239
A%2881%29=2%2B%2881-1%29%283%29+=++2%2B%2880%29%283%29+=+2%2B240+=+242
A%2882%29=2%2B%2882-1%29%283%29+=++2%2B%2881%29%283%29+=+2%2B243+=+245
A%2883%29=2%2B%2883-1%29%283%29+=++2%2B%2882%29%283%29+=+2%2B246+=+248
A%2884%29=2%2B%2884-1%29%283%29+=++2%2B%2883%29%283%29+=+2%2B249+=+251
A%2885%29=2%2B%2885-1%29%283%29+=++2%2B%2884%29%283%29+=+2%2B252+=+254
A%2886%29=2%2B%2886-1%29%283%29+=++2%2B%2885%29%283%29+=+2%2B255+=+257
A%2887%29=2%2B%2887-1%29%283%29+=++2%2B%2886%29%283%29+=+2%2B258+=+260
A%2888%29=2%2B%2888-1%29%283%29+=++2%2B%2887%29%283%29+=+2%2B261+=+263
A%2889%29=2%2B%2889-1%29%283%29+=++2%2B%2888%29%283%29+=+2%2B264+=+266
A%2890%29=2%2B%2890-1%29%283%29+=++2%2B%2889%29%283%29+=+2%2B267+=+269
A%2891%29=2%2B%2891-1%29%283%29+=++2%2B%2890%29%283%29+=+2%2B270+=+272
A%2892%29=2%2B%2892-1%29%283%29+=++2%2B%2891%29%283%29+=+2%2B273+=+275
A%2893%29=2%2B%2893-1%29%283%29+=++2%2B%2892%29%283%29+=+2%2B276+=+278
A%2894%29=2%2B%2894-1%29%283%29+=++2%2B%2893%29%283%29+=+2%2B279+=+281
A%2895%29=2%2B%2895-1%29%283%29+=++2%2B%2894%29%283%29+=+2%2B282+=+284
A%2896%29=2%2B%2896-1%29%283%29+=++2%2B%2895%29%283%29+=+2%2B285+=+287
A%2897%29=2%2B%2897-1%29%283%29+=++2%2B%2896%29%283%29+=+2%2B288+=+290
A%2898%29=2%2B%2898-1%29%283%29+=++2%2B%2897%29%283%29+=+2%2B291+=+293
A%2899%29=2%2B%2899-1%29%283%29+=++2%2B%2898%29%283%29+=+2%2B294+=+296
A%28100%29=2%2B%28100-1%29%283%29+=++2%2B%2899%29%283%29+=+2%2B297+=+299


Edwin