The first terms of ap is 15 and the fourth terms is 6 , what is 10th term and find the sum of the first 10 terms
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Answer:-12 and 15 respectively
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anjaligangwar19:
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a = 15. 4th term = 6 = a+3d so
15+3d= 6 &d = -9/3= -3
so 10th term is a+9d = 15+9×-3 = -12
sum of first 10 terms = n/2(2a+n-1)d = 10/2(2×15+10-1)-3 = 5×{30+( 10-1)-3} = 5×3 = 15
15+3d= 6 &d = -9/3= -3
so 10th term is a+9d = 15+9×-3 = -12
sum of first 10 terms = n/2(2a+n-1)d = 10/2(2×15+10-1)-3 = 5×{30+( 10-1)-3} = 5×3 = 15
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