Question

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✾ Tʜᴇ 17ᴛʜ ᴛᴇʀᴍ ᴏғ ᴀɴ A. P ɪꜱ 14 ᴍᴏʀᴇ ᴛʜᴀɴ 10ᴛʜ ᴛᴇʀᴍ. Fɪɴᴅ ᴄᴏᴍᴍᴏɴ ᴅɪғғᴇʀᴇɴᴄᴇ. ♡

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Answer 1

$t17 = a + (n - 1)d \\ \: \: \: \: \: \: \: \: \: = a + (17 - 1)d \\ \: \: \: \: \: \: \: \: \: = a + 16d...(1) \\ \: t10 = a + (10 - 1)d \\ \: \: \: \: \: \: \: \: \: \: = a + 9d...(2) \\ now \\ a + 16d = a + 9d \\ 2a = 16d - 9d \\ \frac{(16 - 9d)}{7d} = \frac{7}{7} = 1$

❤"

Answer 2

Step-by-step explanation:

=> tn = a+(n-1)d

=> t17 = a + (17-1)d

=> t17 = a+16d

=> t10 = a + 9d

=> 17th term is 14 more than 10th term.

=> t17 = t10 + 14

=> a+16d = a+9d + 14

=> (a-a) +(16d-7d) =14

=> 7d = 14

=> d = 14/7

=> d=2