Find the 50th term of the sequence 5,-2,-9,-16

Question

***[isuru]*** · Answer

do u what type of sequence is this ? (arithmetic or geometric)

anonymous · Answer

arithmetic

anonymous · Answer

50+(49)*(-7) is the 50th term

***[isuru]*** · Answer

now... can u find the common difference then ?

anonymous · Answer

yes, i got -293 is that right?

anonymous · Answer

wait... where did you get the 49 and the -7 from?

***[isuru]*** · Answer

common difference(d) = difference between 2 successive terms
                             = -2 -5 = -7
now 
$$A_{n} = a + ( n-1)d$$

where
 simple "a" = first term = 5
n = the position of the term u want to find = 50 th term
d = (-7)

plug them in to the equation

anonymous · Answer

okay give me a sec

***[isuru]*** · Answer

$$A_{50} =  5 + [ ( 50 - 1) \times (-7) ]$$
$$A_{50} = 5 + ( 49 \times (-7) )$$

anonymous · Answer

i got -338

anonymous · Answer

can you help me with another one?

***[isuru]*** · Answer

yep..! its the 50th term

***[isuru]*** · Answer

sure.. if i can :)

anonymous · Answer

okay how can i find the second and third term in this sequence -7,___,___,-22,-27

***[isuru]*** · Answer

subtract -22 from -27
      -27 - (-22)
   = -27 + 22
   = -5
its the common difference
  now add the common difference to the first term it will give u the second term ... now add the common difference to the second term and it will give u the third term ..
can u do that ?

anonymous · Answer

i was so frustrated, this is easy lol