How do you write the first five terms of the arithmetic sequence given #a_1=2, a_12=46#?

1 Answer
Sep 3, 2017

Answer:

#{2,6,10,14,18}#

Explanation:

to write the first five terms we need to know

#(1) " "#the first term#" "a_1#

#(2)" "# the common difference #d#

we know#" "a_1=2#

we also know

#a_12=46.#

For an AP the #n^(th) #term is given by

#a_n=a+(n-1)d#

#:.a_12=46=2+11d#

#11d=46-2=44#

#=>d=4#

so we have

#a_1=2#

#a_2=2+4=6#

#a_3=6+4=10#

#a_4=10+4=14#

#a_5=14+4=18#