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Find the middle term of the AP 213,205,197,.....37.

Posted by Vaishnavi ?? 6 years, 9 months ago

CBSE > Class 10 > Mathematics

3 answers

Pranit Somkuwar 6 years, 9 months ago

Given, T1 = 213 = a. T2 = 205. Then, d = T2 - T1. d = 205 - 213. d = - 8. Now, Tn = a + (n - 1) × d. 37 = 213 + (n - 1) × (-8). 37 = 213 - 8n + 8. 37 = 221 - 8n. 8n = 221 - 37. 8n = 264. n = 184/8. n = 23. Hence the total no. of terms in the A.P are 23. therefore the no. middle term will be 12. Then, T12 = a + (12 - 1) × d. = a + 11d. = 213 + 11(-8). = 213 - 88. T12 = 125.

2Thank You

Hariom Sharma 6 years, 9 months ago

Take out first no of terms do it's half that tern

1Thank You

Puja Sahoo? 6 years, 9 months ago

125 which is 12th term of ap

4Thank You

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