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Find the 31 term an AP whose 11th term is 38 and the 16th term is 73?

Posted by Divansh Jamwal 4 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Ayush Srivastav 4 years, 10 months ago

let first term of Ap is a and common difference is d use formula tn=a+(n-1) d now t11 = a + (11-1) d = a + 10d = 38 same way t16 = a + 15d =73 solve this equation then a= -32 and d= 7 now t31 = a+30d = -32 + 210 = 178 Hope this ans will be help for y

1Thank You

Gaurav Seth 4 years, 10 months ago

let first term of Ap is a and common difference is d

use formula

tn=a+(n-1) d

now

t11 = a + (11-1)

d = a + 10d = 38

same way

t16 = a + 15d =73

solve this equation then

a= -32 and d= 7

now t31 = a+30d

= -32 + 210 = 178

0Thank You

ANSWER

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