The 6th and 11th terms of an arithmetic sequence are 38 and 73.find th

1.	The 6th and 11th terms of an arithmetic sequence are 38 and 73.find the first term and write the algebric expression of the sequence
Answer» Step-by-step EXPLANATION: a6 = 38. a + 5d = 38 a = 38 - 5d.......equation 1 a11 = 73. a + 10d = 73 38 - 5d + 10d = 73........from equation 1 38 + 5d = 73 5d = 73 - 38 5d = 35 d = 35/5 d = 7 Put d = 7 in equation 1 a = 38 - 5 (7) a = 38 - 35 a = 3 Therefore ; the first term (a) = 3 a2 = a+d a3 = a +2d. A4 = a + 3d = 3+7 = 3 + 2(7). = 3 + 3(7) = 10. = 3 + 14. = 3 + 21 = 17. = 24 Therefore :the A.P. is 3, 10, 17, 24

The 6th and 11th terms of an arithmetic sequence are 38 and 73.find the first term and write the algebric expression of the sequence

Answer»

Step-by-step EXPLANATION:

a6 = 38.

a + 5d = 38

a = 38 - 5d.......equation 1

a11 = 73.

a + 10d = 73

38 - 5d + 10d = 73........from equation 1

38 + 5d = 73

5d = 73 - 38

5d = 35

d = 35/5

d = 7

Put d = 7 in equation 1

a = 38 - 5 (7)

a = 38 - 35

a = 3

Therefore ; the first term (a) = 3

a2 = a+d a3 = a +2d. A4 = a + 3d

= 3+7 = 3 + 2(7). = 3 + 3(7)

= 10. = 3 + 14. = 3 + 21

= 17. = 24

Therefore :the A.P. is 3, 10, 17, 24

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The 6th and 11th terms of an arithmetic sequence are 38 and 73.find the first term and write the algebric expression of the sequence​

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The 6th and 11th terms of an arithmetic sequence are 38 and 73.find the first term and write the algebric expression of the sequence