How do you find the first five terms of each sequence #a_1=1#, #a_2=2# #a_(n+2)=4(a_(n+1))-3a_n#? Precalculus Sequences Infinite Sequences 1 Answer Andrea S. Nov 29, 2016 Use the definition Explanation: #a_1=1# #a_2=2# #n=1: a_3=4a_2-3a_1 =8-3=5# #n=2: a_4=4a_3-3a_2 =20-6=14# #n=3: a_5=4a_4-3a_3 =56-15=41# Answer link Related questions What is a sequence? How does the Fibonacci sequence relate to Pascal's triangle? What is the Fibonacci sequence? How do I find the #n#th term of the Fibonacci sequence? How do you find the general term for a sequence? How do find the #n#th term in a sequence? What is the golden ratio? How does the golden ratio relate to the Fibonacci sequence? How do you determine if -10,20,-40,80 is an arithmetic or geometric sequence? How do you determine if 15,-5,-25,-45 is an arithmetic or geometric sequence? See all questions in Infinite Sequences Impact of this question 1389 views around the world You can reuse this answer Creative Commons License