The best way for solving the problem of arithmetic progressions of exercise 5.2 of math. How i solve this question in easy way Determine the A.P. whose third term is 16 and the 7th term exceeds the 5th term by 12.

AnilSinghBoraGuru

# Determine the A.P. whose third term is 16 and the 7th term exceeds the 5th term by 12. Q.16

Share

Given,

Third term, a_{3}Â = 16As we know,

aÂ +(3âˆ’1)dÂ = 16a+2dÂ = 16 â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦.Â (i)It is given that, 7

^{th}Â term exceeds the 5^{th}Â term by 12.a_{7}Â âˆ’Âa_{5}Â = 12[

a+(7âˆ’1)d]âˆ’[aÂ+(5âˆ’1)d]= 12(

a+6d)âˆ’(a+4d) = 122

dÂ = 12dÂ = 6From equationÂ (i), we get,

a+2(6) = 16a+12 = 16aÂ = 4Therefore, A.P. will be4, 10, 16, 22, â€¦