Question

Answer all the questions. 1 The first three terms in a sequence of numbers, T1, T2, T3,... are given below: (a) T₁=1+3=4 T₂=4+5=9 T3=9+7=16 Find T4. Answer T4=​

Answer 1

16 + 9 = 25

Explanation:

For each term in the sequence, we can see that the second number being added increases by 2 each time (3, 5, 7)

And that the first number of each term increases by the value of the second term

(1 increases by 3; 4 increases by 5)

we can follow out these two observations to find T4

the first term (9) will increase by the value of the second term (7)

{the sum of the previous term is the first number}

so the first number of T4 will be 16.

Because we left off on +7, we are now on +9

so, T4 is

16 + 9 {and then do the math accordingly}

16 + 9 = 25

So, T4 is

16 + 9 = 25

hope this helps!! have a lovely day!! :)