Which statements are equivalent to -2.5< 8/13

The question looks to be incomplete (without the appropriate choices). But still answering related to the inequalities part:

Inequalities are the relationships between two expressions which are not equal to one another. The symbols used for inequalities are <, >, ≤, ≥ and ≠.

reads as '7 is greater than x' (or ' x is less than 7', reading from right to left). Here above, Statements are equivalent when both sides are true or logically the inequality holds good here.

We have , -2.5<8/13 . which is equivalent to -2.5< 0.615 which holds true. We know that any negative number is always smaller than any positive number, also less than 0. And , -2.5 value is less than 0.615. ∴ Inequality holds good!

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for