Question

Find the 11th term from the last term (towards the first term) of the A.P: 10,7,4,........,-62.




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Answer 1

1. ANSWER
2. The sequence given is 10, 7, 4, ....-62.
3. First we need to find out number of terms in this sequence.
4. 'a' = 10, 'd' = -3, last term = -62
6. t
7. n
9. =a+(n−1)d
10. ⟹−62=10+(n−1)(−3)
11. ⟹−62=13−3n
12. ⟹3n=75orn=25.
14. The number of terms in the sequence is 25.
16. The 11th term from the end is same as the 15th term from the first.
17. So, t
18. 15
20. =10+(15−1)(−3)
21. ⟹t
22. 15
24. =10+(14)(−3)
25. ⟹t
26. 15
28. =−32
29. .
31. The 11th term from the end is -32