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Find G.P whose 4th term is 54 and the 7th term is 1458 |
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Answer» 4th term = 54 7th term = 1458 t₄ = 54 a r³ = 54 ----- (1) t₇ = 1458 a r⁶ = 1458 ----- (2) (2)/(1) = (a r⁶)/(a r³) = 1458/54 r³ = 27 r³ = 3³ r = 3 Substitute r = 3 in the first EQUATION we get a (3)³ = 54 a(27) = 54 a = 54/27 a = 2 The general form of G.P is a, a r , a r ²,......... = 2 ,2(3),2(3)²,.............. = 2,6,18,............ |
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