Question 1099372
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 vague example, TY!!
<pre>
To find the second (2nd) term, substitute 2 in place of n
and simplify:

{{{ A(n)=2+(n-1)(3)}}}
{{{ A(2)=2+(2-1)(3)}}}
{{{ A(2)=2+(1)(3)}}}
{{{ A(2)=2+3}}}
{{{ A(2)=5}}}

So the second term A(2) is 5

----------

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

{{{ A(n)=2+(n-1)(3)}}}
{{{ A(5)=2+(5-1)(3)}}}
{{{ A(5)=2+(4)(3)}}}
{{{ A(5)=2+12}}}
{{{ A(5)=14}}}

So the fifth term A(5) is 14

----------

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

{{{ A(n)=2+(n-1)(3)}}}
{{{ A(9)=2+(9-1)(3)}}}
{{{ A(9)=2+(8)(3)}}}
{{{ A(9)=2+24}}}
{{{ A(9)=26}}}

So the ninth term A(9) is 26

----------

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

{{{A(n)=2+(n-1)(3)}}}
{{{A(1)=2+(1-1)(3) =  2+(0)(3) = 2+0 = 2}}}
{{{A(2)=2+(2-1)(3) =  2+(1)(3) = 2+3 = 5}}}
{{{A(3)=2+(3-1)(3) =  2+(2)(3) = 2+6 = 8}}}
{{{A(4)=2+(4-1)(3) =  2+(3)(3) = 2+9 = 11}}}
{{{A(5)=2+(5-1)(3) =  2+(4)(3) = 2+12 = 14}}}
{{{A(6)=2+(6-1)(3) =  2+(5)(3) = 2+15 = 17}}}
{{{A(7)=2+(7-1)(3) =  2+(6)(3) = 2+18 = 20}}}
{{{A(8)=2+(8-1)(3) =  2+(7)(3) = 2+21 = 23}}}
{{{A(9)=2+(9-1)(3) =  2+(8)(3) = 2+24 = 26}}}
{{{A(10)=2+(10-1)(3) =  2+(9)(3) = 2+27 = 29}}}
{{{A(11)=2+(11-1)(3) =  2+(10)(3) = 2+30 = 32}}}
{{{A(12)=2+(12-1)(3) =  2+(11)(3) = 2+33 = 35}}}
{{{A(13)=2+(13-1)(3) =  2+(12)(3) = 2+36 = 38}}}
{{{A(14)=2+(14-1)(3) =  2+(13)(3) = 2+39 = 41}}}
{{{A(15)=2+(15-1)(3) =  2+(14)(3) = 2+42 = 44}}}
{{{A(16)=2+(16-1)(3) =  2+(15)(3) = 2+45 = 47}}}
{{{A(17)=2+(17-1)(3) =  2+(16)(3) = 2+48 = 50}}}
{{{A(18)=2+(18-1)(3) =  2+(17)(3) = 2+51 = 53}}}
{{{A(19)=2+(19-1)(3) =  2+(18)(3) = 2+54 = 56}}}
{{{A(20)=2+(20-1)(3) =  2+(19)(3) = 2+57 = 59}}}
{{{A(21)=2+(21-1)(3) =  2+(20)(3) = 2+60 = 62}}}
{{{A(22)=2+(22-1)(3) =  2+(21)(3) = 2+63 = 65}}}
{{{A(23)=2+(23-1)(3) =  2+(22)(3) = 2+66 = 68}}}
{{{A(24)=2+(24-1)(3) =  2+(23)(3) = 2+69 = 71}}}
{{{A(25)=2+(25-1)(3) =  2+(24)(3) = 2+72 = 74}}}
{{{A(26)=2+(26-1)(3) =  2+(25)(3) = 2+75 = 77}}}
{{{A(27)=2+(27-1)(3) =  2+(26)(3) = 2+78 = 80}}}
{{{A(28)=2+(28-1)(3) =  2+(27)(3) = 2+81 = 83}}}
{{{A(29)=2+(29-1)(3) =  2+(28)(3) = 2+84 = 86}}}
{{{A(30)=2+(30-1)(3) =  2+(29)(3) = 2+87 = 89}}}
{{{A(31)=2+(31-1)(3) =  2+(30)(3) = 2+90 = 92}}}
{{{A(32)=2+(32-1)(3) =  2+(31)(3) = 2+93 = 95}}}
{{{A(33)=2+(33-1)(3) =  2+(32)(3) = 2+96 = 98}}}
{{{A(34)=2+(34-1)(3) =  2+(33)(3) = 2+99 = 101}}}
{{{A(35)=2+(35-1)(3) =  2+(34)(3) = 2+102 = 104}}}
{{{A(36)=2+(36-1)(3) =  2+(35)(3) = 2+105 = 107}}}
{{{A(37)=2+(37-1)(3) =  2+(36)(3) = 2+108 = 110}}}
{{{A(38)=2+(38-1)(3) =  2+(37)(3) = 2+111 = 113}}}
{{{A(39)=2+(39-1)(3) =  2+(38)(3) = 2+114 = 116}}}
{{{A(40)=2+(40-1)(3) =  2+(39)(3) = 2+117 = 119}}}
{{{A(41)=2+(41-1)(3) =  2+(40)(3) = 2+120 = 122}}}
{{{A(42)=2+(42-1)(3) =  2+(41)(3) = 2+123 = 125}}}
{{{A(43)=2+(43-1)(3) =  2+(42)(3) = 2+126 = 128}}}
{{{A(44)=2+(44-1)(3) =  2+(43)(3) = 2+129 = 131}}}
{{{A(45)=2+(45-1)(3) =  2+(44)(3) = 2+132 = 134}}}
{{{A(46)=2+(46-1)(3) =  2+(45)(3) = 2+135 = 137}}}
{{{A(47)=2+(47-1)(3) =  2+(46)(3) = 2+138 = 140}}}
{{{A(48)=2+(48-1)(3) =  2+(47)(3) = 2+141 = 143}}}
{{{A(49)=2+(49-1)(3) =  2+(48)(3) = 2+144 = 146}}}
{{{A(50)=2+(50-1)(3) =  2+(49)(3) = 2+147 = 149}}}
{{{A(51)=2+(51-1)(3) =  2+(50)(3) = 2+150 = 152}}}
{{{A(52)=2+(52-1)(3) =  2+(51)(3) = 2+153 = 155}}}
{{{A(53)=2+(53-1)(3) =  2+(52)(3) = 2+156 = 158}}}
{{{A(54)=2+(54-1)(3) =  2+(53)(3) = 2+159 = 161}}}
{{{A(55)=2+(55-1)(3) =  2+(54)(3) = 2+162 = 164}}}
{{{A(56)=2+(56-1)(3) =  2+(55)(3) = 2+165 = 167}}}
{{{A(57)=2+(57-1)(3) =  2+(56)(3) = 2+168 = 170}}}
{{{A(58)=2+(58-1)(3) =  2+(57)(3) = 2+171 = 173}}}
{{{A(59)=2+(59-1)(3) =  2+(58)(3) = 2+174 = 176}}}
{{{A(60)=2+(60-1)(3) =  2+(59)(3) = 2+177 = 179}}}
{{{A(61)=2+(61-1)(3) =  2+(60)(3) = 2+180 = 182}}}
{{{A(62)=2+(62-1)(3) =  2+(61)(3) = 2+183 = 185}}}
{{{A(63)=2+(63-1)(3) =  2+(62)(3) = 2+186 = 188}}}
{{{A(64)=2+(64-1)(3) =  2+(63)(3) = 2+189 = 191}}}
{{{A(65)=2+(65-1)(3) =  2+(64)(3) = 2+192 = 194}}}
{{{A(66)=2+(66-1)(3) =  2+(65)(3) = 2+195 = 197}}}
{{{A(67)=2+(67-1)(3) =  2+(66)(3) = 2+198 = 200}}}
{{{A(68)=2+(68-1)(3) =  2+(67)(3) = 2+201 = 203}}}
{{{A(69)=2+(69-1)(3) =  2+(68)(3) = 2+204 = 206}}}
{{{A(70)=2+(70-1)(3) =  2+(69)(3) = 2+207 = 209}}}
{{{A(71)=2+(71-1)(3) =  2+(70)(3) = 2+210 = 212}}}
{{{A(72)=2+(72-1)(3) =  2+(71)(3) = 2+213 = 215}}}
{{{A(73)=2+(73-1)(3) =  2+(72)(3) = 2+216 = 218}}}
{{{A(74)=2+(74-1)(3) =  2+(73)(3) = 2+219 = 221}}}
{{{A(75)=2+(75-1)(3) =  2+(74)(3) = 2+222 = 224}}}
{{{A(76)=2+(76-1)(3) =  2+(75)(3) = 2+225 = 227}}}
{{{A(77)=2+(77-1)(3) =  2+(76)(3) = 2+228 = 230}}}
{{{A(78)=2+(78-1)(3) =  2+(77)(3) = 2+231 = 233}}}
{{{A(79)=2+(79-1)(3) =  2+(78)(3) = 2+234 = 236}}}
{{{A(80)=2+(80-1)(3) =  2+(79)(3) = 2+237 = 239}}}
{{{A(81)=2+(81-1)(3) =  2+(80)(3) = 2+240 = 242}}}
{{{A(82)=2+(82-1)(3) =  2+(81)(3) = 2+243 = 245}}}
{{{A(83)=2+(83-1)(3) =  2+(82)(3) = 2+246 = 248}}}
{{{A(84)=2+(84-1)(3) =  2+(83)(3) = 2+249 = 251}}}
{{{A(85)=2+(85-1)(3) =  2+(84)(3) = 2+252 = 254}}}
{{{A(86)=2+(86-1)(3) =  2+(85)(3) = 2+255 = 257}}}
{{{A(87)=2+(87-1)(3) =  2+(86)(3) = 2+258 = 260}}}
{{{A(88)=2+(88-1)(3) =  2+(87)(3) = 2+261 = 263}}}
{{{A(89)=2+(89-1)(3) =  2+(88)(3) = 2+264 = 266}}}
{{{A(90)=2+(90-1)(3) =  2+(89)(3) = 2+267 = 269}}}
{{{A(91)=2+(91-1)(3) =  2+(90)(3) = 2+270 = 272}}}
{{{A(92)=2+(92-1)(3) =  2+(91)(3) = 2+273 = 275}}}
{{{A(93)=2+(93-1)(3) =  2+(92)(3) = 2+276 = 278}}}
{{{A(94)=2+(94-1)(3) =  2+(93)(3) = 2+279 = 281}}}
{{{A(95)=2+(95-1)(3) =  2+(94)(3) = 2+282 = 284}}}
{{{A(96)=2+(96-1)(3) =  2+(95)(3) = 2+285 = 287}}}
{{{A(97)=2+(97-1)(3) =  2+(96)(3) = 2+288 = 290}}}
{{{A(98)=2+(98-1)(3) =  2+(97)(3) = 2+291 = 293}}}
{{{A(99)=2+(99-1)(3) =  2+(98)(3) = 2+294 = 296}}}
{{{A(100)=2+(100-1)(3) =  2+(99)(3) = 2+297 = 299}}}


Edwin</pre>