Question

Find the 168th term of arithmetic sequence {a_{n}, n = 1, 2, 3, . . .} with common ifference d = 1.5 and first term a_{1} = 2.

Answer 1

`a_1=2;\ d=1.5\\\\a_n=a_1+(n-1)d\\\\a_n=2+(n-1)\cdot1.5=2+1.5n-1.5=0.5+1.5n\\\\a_(168)=0.5+1.5\cdot168=0.5+252=252.5`