How do you write the first five terms of the arithmetic sequence given #a_4=16, a_10=46#?

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Answer 1 · 2017-12-22T09:14:39

#{1,6,11,16,21,..}#

the #nth# term of an AP is given by

#nth=a_1+(n-1)d#

we are given

#a_4=16=>16=a_1+3d---(1)#

#a_10=46=>46=a_1+9d--(2)#

#(2)-(1)#

#30=6d#

#:.d=5#

taking #(1)=>a_1=16-3xx5=16-15=1#

mental check for #(2), 1+9xx5=46sqrt#

#a_1=1, d=5#

#a_1=1#

#a_2=6#

#a_3=11#

#a_4=16#

#a_5=21#

#{1,6,11,16,21,..}#