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Formula for the third term: $a_3 = ar^{(3-1)} = ar^2$

The first term of a geometric sequence: $a_1 = ar^{(1-1)} = a$

Formula to find the fifth term: $a_5 = ar^{(5-1)} = ar^4$

Formula to find the seventh term: $a_7 = ar^{(7-1)} = ar^6$

Formula for the second term: $a_2 = ar^{(2-1)} = ar$

Formula for the fourth term: $a_4 = ar^{(4-1)} = ar^3$

Formula to find the eighth term: $a_8 = ar^{(8-1)} = ar^7$

Formula to find the tenth term: $a_{10} = ar^{(10-1)} = ar^9$

Formula to find the sixth term: $a_6 = ar^{(6-1)} = ar^5$